Cerone, Pietro
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September 1990
Cerone, Pietro (1990) Inspection interval for maximum future reliability using the delay time model. Technical Report. Footscray Institute of Technology. Department of Mathematics, Computing and Operations Research, Footscray, Vic.
June 1991
Cerone, Pietro (1991) On series involving roots of trascendential equations arising from integral equations. Technical Report. Victoria University of Technology. Department of Mathematics, Computing and Operations Research, Footscray, Vic.
July 1993
Dewalagama, Gap and Cerone, Pietro (1993) Application of petri nets in manufacturing planning and control. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
August 1994
Cerone, Pietro (1994) On digit swaps and shifts. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
December 1994
Cerone, Pietro (1994) On series involving zeros of transcendental functions arising from Volterra integral equations. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
March 1995
Cerone, Pietro and Sofo, Anthony (1995) Summing series arising from integro-differential-difference equations. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
June 1995
Cerone, Pietro and Sofo, Anthony (1995) Binomial type sums. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
October 1995
Sofo, Anthony and Cerone, Pietro (1995) Generalisation of a waiting time relation. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
December 1995
Jutrisa, Ivan Zvonko, Sharda, Nalin and Cerone, Pietro (1995) Implementation options for reliable satellite broadcast transmission (RSBT). Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
May 1996
Shelley, Anthony John and Cerone, Pietro (1996) Data management in support of measuring operational availability of complex systems. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
April 1997
Sofo, Anthony and Cerone, Pietro (1997) Summation of series of binomial variation. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.
1998
Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1998) An Inequality of Ostrowski Type For Mappings Whose Second Derivatives are Bounded and Applications. RGMIA research report collection, 1 (1).
Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1998) Some Ostrowski Type Inequalities for N-Time Differentiable Mappings and Applications. RGMIA research report collection, 1 (1).
Dragomir, Sever S, Cerone, Pietro and Sofo, Anthony (1998) Some Remarks on the Midpoint Rule in Numerical Integration. RGMIA research report collection, 1 (2).
September 1998
Roumeliotis, John, Cerone, Pietro and Dragomir, Sever S (1998) An Ostrowski Type Inequality for Weighted Mappings with Bounded Second Derivatives. RGMIA research report collection, 1 (1).
November 1998
Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1998) An Ostrowski Type Inequality for Mappings whose Second Derivatives Belong to Lp (A,B) and Applications. RGMIA research report collection, 1 (1).
December 1998
Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1998) An Inequality of Ostrowski Type for Mappings Whose Second Derivatives Belong to L₁ (A,B) and Applications. RGMIA research report collection, 1 (2).
Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1998) An Inequality of Ostrowski-Grüss Type for Twice Differentiable Mappings and Applications in Numerical Integration. RGMIA research report collection, 1 (2).
Dragomir, Sever S, Barnett, Neil S and Cerone, Pietro (1998) An Ostrowski type Inequality for Double Integrals in Terms of Lp- Norms and Applications in Numerical Integration. RGMIA research report collection, 1 (2).
1999
Dragomir, Sever S, Cerone, Pietro, Roumeliotis, John and Wang, Song (1999) A Weighted Version of Ostrowski Inequality for Mappings of Holder Type and Applications in Numerical Analysis. RGMIA research report collection, 2 (1).
Dragomir, Sever S, Cerone, Pietro and Roumeliotis, John (1999) A New Generalization of Ostrowski's Integral Inequality for Mappings Whose Derivatives are Bounded and Applications in Numerical Integration and for Special Means. RGMIA research report collection, 2 (1).
Dragomir, Sever S, Barnett, Neil S and Cerone, Pietro (1999) An N-Dimensional Version of Ostrowski's Inequality For Mappings of the Hölder Type. RGMIA research report collection, 2 (2).
Hanna, George T, Cerone, Pietro and Roumeliotis, John (1999) An Ostrowski Type Inequality in Two Dimensions Using the Three Point Rule. RGMIA research report collection, 2 (5).
Cerone, Pietro, Roumeliotis, John and Hanna, George T (1999) On Weighted Three Point Quadrature Rules. RGMIA research report collection, 2 (5).
Cerone, Pietro, Dragomir, Sever S, Roumeliotis, John and Sunde, Jadranka (1999) A New Generalization of the Trapezoid Formula for n-Time Differentiable Mappings and Applications. RGMIA research report collection, 2 (5).
Cerone, Pietro and Dragomir, Sever S (1999) Midpoint Type Rules from an Inequalities Point of View. RGMIA research report collection, 2 (7).
Cerone, Pietro and Dragomir, Sever S (1999) Three Point Identities and Inequalities for n-time Differential Functions. RGMIA research report collection, 2 (7).
April 1999
Cerone, Pietro and Dragomir, Sever S (1999) Lobatto Type Quadrature Rules for Functions with Bounded Derivative. RGMIA research report collection, 2 (2).
Cerone, Pietro and Dragomir, Sever S (1999) On a Weighted Generalization of Iyengar Type Inequalities Involving Bounded First Derivative. RGMIA research report collection, 2 (2).
Dragomir, Sever S, Agarwal, R. P and Cerone, Pietro (1999) On Simpson's Inequality and Applications. RGMIA research report collection, 2 (3).
May 1999
Dragomir, Sever S, Cerone, Pietro and Sofo, Anthony (1999) Some Remarks on the Trapezoid Rule In Numerical Integration. RGMIA research report collection, 2 (5).
July 1999
Cerone, Pietro and Dragomir, Sever S (1999) Three Point Quadrature Rules Involving, at Most, a First Derivative. RGMIA research report collection, 2 (4).
29 July 1999
Dragomir, Sever S, Cerone, Pietro, Barnett, Neil S and Roumeliotis, John (1999) An Inequality of the Ostrowski Type For Double Integrals and Applications for Cubature Formulae. RGMIA research report collection, 2 (6).
21 October 1999
Cerone, Pietro and Dragomir, Sever S (1999) Trapezoidal Type Rules from an Inequalities Point of View. RGMIA research report collection, 2 (6).
15 November 1999
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (1999) Some Inequalities for the Dispersion of a Random Variable whose PDF is Defined on a Finite Interval. RGMIA research report collection, 2 (7).
2000
Cerone, Pietro and Dragomir, Sever S (2000) On Some Inequalities Arising from Montgomery's Identity. RGMIA research report collection, 3 (2).
January 2000
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (2000) Some Inequalities for the Expectation and Variance of a Random Variable whose PDF is n-Time Differentiable. RGMIA research report collection, 3 (1).
14 January 2000
Hanna, George T, Dragomir, Sever S and Cerone, Pietro (2000) A General Ostrowski Type Inequality for Double Integrals. RGMIA research report collection, 3 (2).
18 January 2000
Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2000) Further Inequalities for the Expectation and Variance of a Random Variable Defined on a Finite Interval. RGMIA research report collection, 3 (1).
2 February 2000
Cerone, Pietro and Dragomir, Sever S (2000) On Some Inequalities for the Expectation and Variance. RGMIA research report collection, 3 (1).
7 February 2000
Cerone, Pietro and Dragomir, Sever S (2000) New Bounds for a Perturbed Generalised Taylor's Formula. RGMIA research report collection, 3 (2).
20 March 2000
Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2000) Some New Inequalities for Hermite-Hadamard Divergence in Information Theory. RGMIA research report collection, 5 (4).
21 March 2000
Cerone, Pietro and Dragomir, Sever S (2000) Generalisations of the Grüss, Chebychev and Lupas inequalities for Integrals over Different Intervals. RGMIA research report collection, 3 (2).
11 April 2000
Cerone, Pietro (2000) Three Point Rules in Numerical Integration. RGMIA research report collection, 3 (2).
3 May 2000
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Fink, Arlington A (2000) Comparing Two Integral Means for Absolutely Continuous Mappings Whose Derivatives are in L∞[a,b] and Applications. RGMIA research report collection, 3 (2).
16 June 2000
Cerone, Pietro and Dragomir, Sever S (2000) Some Bounds in terms of △ - Seminorms for Ostrowski-Grüss Type Inequalities. RGMIA research report collection, 3 (3).
Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (2000) Grüss Inequality in Terms of △ - Seminorms and Applications. RGMIA research report collection, 3 (3).
29 September 2000
Cerone, Pietro, Dragomir, Sever S, Hanna, George T and Pecaric, Josep (2000) A Generalisation Of Chebyshev’s Inequality For Functions Of Several Variables. RGMIA research report collection, 4 (1).
1 October 2000
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805, Roumeliotis, John and Sunde, Jadranka (2000) A new generalization of the trapezoid formula for N-time differentiable mappings and applications. Demonstratio Mathematica, 33 (4). pp. 719-736. ISSN 0420-1213
15 November 2000
Cerone, Pietro (2000) Perturbed Rules in Numerical Integration from Product Branched Peano Kernels. RGMIA research report collection, 3 (4).
2001
Cerone, Pietro (2001) On Series Involving Zeros of Transcendental Functions Arising from Volterra Integral Equations. Le Matematiche, 56 (1). pp. 3-26. ISSN 0373-3505
Cerone, Pietro and Dragomir, Sever S (2001) Chebychev Functional Bounds Using Ostrowski Seminorms. RGMIA research report collection, 4 (1).
Hanna, George T, Dragomir, Sever S and Cerone, Pietro (2001) A Taylor Like Formula for Mappings of Two Variables Defined on a Rectangle in the Plane. RGMIA research report collection, 4 (2).
21 January 2001
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S, Pinheiro, M. R and Sofo, Anthony (2001) Ostrowski Type Inequalities for Functions whose Modulus of the Derivatives are Convex and Applications. RGMIA research report collection, 5 (2).
9 March 2001
Cerone, Pietro (2001) A New Ostrowski Type Inequality Involving Integral Means Over End Intervals. RGMIA research report collection, 4 (2).
16 March 2001
Cerone, Pietro and Dragomir, Sever S (2001) Differences Between Means with Bounds from a Riemann-Stieltjes Integral. RGMIA research report collection, 4 (2).
25 March 2001
Cerone, Pietro (2001) On Relationships Between Ostrowski, Trapezoidal and Chebychev Identities and Inequalities. RGMIA research report collection, 4 (2).
19 April 2001
Barnett, Neil S, Buşe, Constantin, Cerone, Pietro and Dragomir, Sever S (2001) Ostrowski's Inequality for Vector-Valued Functions and Applications. RGMIA research report collection, 4 (3).
30 April 2001
Cerone, Pietro (2001) On Perturbed Trapezoidal and Midpoint Rules. RGMIA research report collection, 4 (2).
17 May 2001
Barnett, Neil S, Buşe, Constantin, Cerone, Pietro and Dragomir, Sever S (2001) On Weighted Ostrowski Type Inequalities for Operators and Vector-Valued Functions. RGMIA research report collection, 4 (3).
22 May 2001
Cerone, Pietro and Roumeliotis, John (2001) Generalised Weighted Trapezoidal Rules and Relationship to Ostrowski Results. RGMIA research report collection, 4 (3).
5 June 2001
Cerone, Pietro (2001) Weighted Three Point Identities and their Bounds. RGMIA research report collection, 4 (4).
8 June 2001
Cerone, Pietro (2001) Approximate Multidimensional Integration Through Dimension Reduction via the Ostrowski Functional. RGMIA research report collection, 4 (3).
27 June 2001
Cerone, Pietro (2001) Multidimensional Integration via Trapezoidal and Three Point Generators. RGMIA research report collection, 4 (4).
August 2001
Cerone, Pietro (2001) Three point rules in numerical integration. Nonlinear analysis, 47 (4). pp. 2341-2352. ISSN 0362-546x
17 September 2001
Cerone, Pietro (2001) Generalised Taylor's Formula with Estimates of the Remainder. RGMIA research report collection, 5 (2).
10 December 2001
Qi, Feng, Cerone, Pietro and Dragomir, Sever S (2001) Some New Iyengar Type Inequalities. RGMIA research report collection, 5 (2).
2002
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Fink, Arlington A (2002) Comparing two integral means for absolutely continuous mappings whose derivatives are in L∞[a,b] and applications. Computers & mathematics with applications, 44 (1/2). pp. 241-251. ISSN 0898-1221
Cerone, Pietro and Dragomir, Sever S (2002) On the Approximation of the Integral Mean Divergence and f-Divergence via Mean Results. RGMIA research report collection, 5 (1).
Chen, Chao-Ping, Qi, Feng, Cerone, Pietro and Dragomir, Sever S (2002) Monotonicity of Sequences Involving Convex and Concave Functions. RGMIA research report collection, 5 (1).
26 February 2002
Sofo, Anthony and Cerone, Pietro (2002) A Note on an Erdös Problem. RGMIA research report collection, 5 (2).
20 March 2002
Cerone, Pietro and Dragomir, Sever S (2002) New Upper and Lower Bounds for the Čebyšev Functional. RGMIA research report collection, 5 (Supp).
10 April 2002
Cerone, Pietro and Dragomir, Sever S (2002) A Refinement of the Grüss Inequality and Applications. RGMIA research report collection, 5 (2).
12 April 2002
Cerone, Pietro and Dragomir, Sever S (2002) New Inequalities for the Čebyšev Functional Involving Two n-Tuples of Real Numbers and Applications. RGMIA research report collection, 5 (3).
6 May 2002
Cerone, Pietro (2002) On Some Results Involving the Čebyšev Functional and its Generalisations. RGMIA research report collection, 5 (3).
17 June 2002
Cerone, Pietro (2002) Perturbed Generalised Taylor's Formulae with Sharp Bounds. RGMIA research report collection, 5 (2).
Cerone, Pietro (2002) Perturbed Generalised Taylor's Formulae with Sharp Bounds and Estimation of Relative Entropy. RGMIA research report collection, 5 (2).
Cerone, Pietro (2002) Estimation of Relative Entropy Using Novel Taylor-Like Representations. RGMIA research report collection, 5 (4).
2003
Cerone, Pietro (2003) Multidimensional integration via trapezoidal and three point generators. Journal of the Korean mathematical society, 40 (2). pp. 251-272. ISSN 03049914
Cerone, Pietro (2003) On Some Results Involving the Cebysev Functional and its Generalisations. Journal of Inequalities in Pure and Applied Mathematics, 4 (3). ISSN 1443-5756
Cerone, Pietro and Lenard, Christopher (2003) On Integral Forms of Generalised Mathieu Series. Journal of Inequalities in Pure and Applied Mathematics, 4 (5). ISSN 1443-5756
Cerone, Pietro and Summit, Raymond (2003) Costing a New Car Warranty. Asia-Pacific Journal of Operational Research, 20 (1). pp. 89-101. ISSN 0217-5959
Chen, Chao-Ping, Qi, Feng, Cerone, Pietro and Dragomir, Sever S (2003) Monotonicity of Sequences Involving Convex and Concave Functions. Mathematical Inequalities and Applications, 6 (2). pp. 229-239. ISSN 1331-4343
Dragomir, Sever S, Qi, Feng, Hanna, George T and Cerone, Pietro (2003) New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders. RGMIA research report collection, 6 (1).
Cerone, Pietro, Dragomir, Sever S and Osterreicher, Ferdinand (2003) Bounds on Extended f-Divergences for a Variety of Classes. RGMIA research report collection, 6 (1).
24 February 2003
Cerone, Pietro and Dragomir, Sever S (2003) Approximation of the Stieltjes Integral and Applications in Numerical Integration. RGMIA research report collection, 6 (1).
18 March 2003
Cerone, Pietro and Dragomir, Sever S (2003) New Bounds for the Čebyšev Functional. RGMIA research report collection, 6 (2).
5 May 2003
Cerone, Pietro and Lenard, Christopher (2003) On Integral Forms of Generalised Mathieu Series. RGMIA research report collection, 6 (2).
30 May 2003
Cerone, Pietro (2003) Bounding Mathieu Type Series. RGMIA research report collection, 6 (3).
20 June 2003
Cerone, Pietro (2003) On Applications Of The Integral Of Products Of Functions And Its Bounds. RGMIA research report collection, 6 (3).
16 July 2003
Cerone, Pietro, Cho, Yeol Je, Dragomir, Sever S, Kim, Jong Kyu and Kim, Seong Sik (2003) Norm Estimates for the Difference Between Bochner’s Integral and the Convex Combination of Function’s Values. RGMIA research report collection, 6 (Supp).
August 2003
Cerone, Pietro and Dragomir, Sever S (2003) Differences between means with bounds from a Riemann-Stieltjes integral. Computers & Mathematics with Applications, 46 (2-3). pp. 445-453. ISSN 0898-1221
28 August 2003
Cerone, Pietro, Cho, Yeol Je, Dragomir, Sever S and Kim, Seong Sik (2003) Refinements Of Some Reverses Of Schwarz’s Inequality in 2−Inner Product Spaces and Applications for Integrals. RGMIA research report collection, 6 (Supp).
2004
Cerone, Pietro (2004) Perturbed Rules in Numerical Integration from Product Branched Peano Kernels. Nonlinear Analysis Forum: an International Journal, 9 (1). pp. 1-23. ISSN 1226-7228
Cerone, Pietro, Aslam, Chaudhry, Korvin, G and Qadir, Asghar (2004) New Inequalities Involving the Zeta Function. Journal of Inequalities in Pure and Applied Mathematics, 5 (2). pp. 1-17. ISSN 1443-5756
Cerone, Pietro, Cho, Yeol Je, Dragomir, Sever S, Kim, Jong Kyu and Kim, Seong Sik (2004) Norm Estimates for the Difference Between Bochner's Integral and the Convex Combination of Function's Values. The Australian Journal of Mathematical Analysis and Applications, 1 (2). pp. 1-7. ISSN 1449-5910
Cerone, Pietro and Dragomir, Sever S (2004) Chebychev Functional Bounds Using Ostrowski Seminorms. Southeast Asian Bulletin of Mathematics, 28 (2). pp. 219-228. ISSN 0129-2021
Cerone, Pietro and Dragomir, Sever S (2004) Ostrowski Type Inequalities for Functions whose Derivatives Satisfy Certain Convexity Assumptions. Demonstratio Mathematica, XXXVII (2). pp. 299-308. ISSN 0420-1213
Cerone, Pietro and Dragomir, Sever S (2004) Some New Bounds for the Čebyšev Functional in Terms of the First Derivative and Applications. Research report collection, 7 (2).
Cerone, Pietro and Dragomir, Sever S (2004) Stolarsky and Gini Divergence Measures in Information Theory. Research report collection, 7 (2).
Buşe, Constantin, Cerone, Pietro, Dragomir, Sever S and Roumeliotis, John (2004) A Refinement of Grüss Type Inequality for the Bochner Integral of Vector-Valued Functions in Hilbert Spaces and Applications. Research report collection, 7 (3).
Buşe, Constantin, Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2004) Integral Characterizations for Exponential Stability of Semigroups and Evolution Families on Banach Spaces. Research report collection, 7 (3).
Buşe, Constantin, Cerone, Pietro, Dragomir, Sever S and Barnett, Neil S (2004) Strong Stability of Periodic Discrete Systems in Banach Spaces. Research report collection, 7 (3).
2005
Agarwal, R. P, Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2005) A survey on some inequalities for expectation and variance. Computers & Mathematics with Applications, 49 (2-3). pp. 429-480. ISSN 0898-1221
Buşe, Constantin, Cerone, Pietro, Dragomir, Sever S and Sofo, Anthony (2005) Uniform stability of periodic discrete systems in Banach spaces. Journal of Difference Equations and Applications, 11 (12). pp. 1081-1088. ISSN 1023-6198
Cerone, Pietro (2005) Bounds for Zeta and Related Functions. Journal of Inequalities in Pure and Applied Mathematics, 6 (5). pp. 4-31. ISSN 1443-5756
Qi, Feng, Cerone, Pietro and Dragomir, Sever S (2005) Some new Iyengar type inequalities. Rocky Mountain Journal of Mathematics, 35 (3). pp. 997-1015. ISSN 0035-7596
Cerone, Pietro, Dragomir, Sever S and Mills, Terry M (2005) Discrete Chebychev for Means of Sequences of Different Lengths. Research report collection, 8 (2).
Barnett, Neil S, Buşe, Constantin, Cerone, Pietro and Dragomir, Sever S (2005) Some Grüss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications. Research report collection, 8 (2).
Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2005) Majorisation Inequalities for Stieltjes Integrals. Research report collection, 8 (2).
Cerone, Pietro and Dragomir, Sever S (2005) Some Convexity Properties of Dirichlet Series with Positive Terms. Research report collection, 8 (4).
July 2005
Cerone, Pietro and Dragomir, Sever S (2005) Approximation of the integral mean divergence and f-divergence via mean results. Mathematical and Computer Modelling, 42 (1-2). pp. 207-219. ISSN 0895-7177
August 2005
Cerone, Pietro and Dragomir, Sever S (2005) Bounds for the Gini mean difference via the Sonin identify. Computers & Mathematics with Applications, 50 (3-4). pp. 599-609. ISSN 0898-1221
2006
Barnett, Neil S, Buşe, Constantin, Cerone, Pietro and Dragomir, Sever S (2006) Integral Characterizations for Exponential Stability of Semigroups and Evolution Families on Banach Spaces. Bulletin of the Belgian Mathematical Society, 13 (2). pp. 345-353. ISSN 1370-1444
Cerone, Pietro (2006) On a Cebysev-type functional and Gruss-like bounds. Mathematical Inequalities and Applications, 9 (1). pp. 87-102. ISSN 1331-4343
Cerone, Pietro, Cho, Yeol Je, Dragomir, Sever S and Kim, Seong Sik (2006) Refinements of some reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals. Journal of the Indonesian Mathematical Society, 12 (2). pp. 185-199. ISSN 0854-1388
Dragomir, Sever S, Buşe, Constantin, Cerone, Pietro and Roumeliotis, John (2006) A refinement of Gruss type inequality for the Bochner Integral of vector-valued functions in Hilbert spaces and applications. Journal of the Korean Mathematical Society, 43 (5). pp. 911-929. ISSN 0304-9914
Cerone, Pietro and Dragomir, Sever S (2006) Inequalities for Dirichlet Series with Positive Terms. Research report collection, 9 (1).
Cerone, Pietro, Cheung, Wing Sum and Dragomir, Sever S (2006) On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation. Research report collection, 9 (2).
Cerone, Pietro and Dragomir, Sever S (2006) Some Applications of De Bruijn's Inequality for Power Series. Research report collection, 9 (4).
2007
Barnett, Neil S, Buşe, Constantin, Cerone, Pietro and Dragomir, Sever S (2007) Some Gruss Type Inequalities for Vector-Valued Functions in Banach Spaces and Applications. Tamsui Oxford University Journal of Mathematical Sciences, 23 (1). pp. 91-103. ISSN 1561-8307
Cerone, Pietro (2007) Special functions: approximations and bounds. Applicable Analysis and Discrete Mathematics, 1 (1). pp. 72-91. ISSN 1452-8630
Cerone, Pietro and Dragomir, Sever S (2007) A refinement of the Gruss inequality and applications. Tamkang Journal of Mathematics, 38 (1). pp. 37-49. ISSN 0049-2930
Cerone, Pietro (2007) Estimation of Relative Entropy using Novel Taylor-Like Representations. In: Inequality Theory and Applications. Cho, Yeol Je, Kim, Jong Kyu and Dragomir, Sever S, eds. Nova Science Publishers, USA, pp. 33-45.
Cerone, Pietro (2007) On Odd Zeta and Other Special Function Bounds. In: Inequality Theory and Applications. Cho, Yeol Je, Kim, Jong Kyu and Dragomir, Sever S, eds. Nova Science Publishers, pp. 13-31.
Cerone, Pietro and Dragomir, Sever S (2007) Stolarsky and Gini Divergence Measures in Information Theory. In: Inequality Theory and Applications. Yeol, Je Cho, Kim, Jong Kyu and Dragomir, Sever S, eds. Nova Science Publishers, USA, pp. 33-43.
Cerone, Pietro and Dragomir, Sever S (2007) Bounds for the r-Weighted Gini Mean Difference of an Empirical Distribution. Research report collection, 10 (1).
Cerone, Pietro and Dragomir, Sever S (2007) Approximating the Riemann-Stieltjes Integral via Some Moments of the Integrand. Research report collection, 10 (2).
Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2007) Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications. Research report collection, 10 (2).
Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2007) Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces. Research report collection, 10 (3).
Cerone, Pietro and Dragomir, Sever S (2007) Integral Inequalities and Applications for Bounding the Čebyšev Functional. Research report collection, 10 (Supp).
Cerone, Pietro (2007) Multidimensional Integration via Dimension Reduction and Generators. Research report collection, 10 (Supp).
Cerone, Pietro and Dragomir, Sever S (2007) Sharp Error Bounds in Approximating the Riemann-Stieltjes Integral by a Generalised Trapezoid Formula and Applications. Research report collection, 10 (4).
2008
Cerone, Pietro and Dragomir, Sever S, eds. (2008) Advances in Inequalities for Special Functions. Advances in mathematical inequalities . Nova Science Publishers, New York.
Cerone, Pietro and Dragomir, Sever S (2008) Inequalities for Positive Dirichlet Series. In: Advances in Inequalities for Special Functions. Cerone, Pietro and Dragomir, Sever S, eds. Advances in mathematical inequalities . Nova Science Publishers, New York, USA, pp. 37-65.
Cerone, Pietro (2008) Special Functions Approximations and Bounds via Integral Representation. In: Advances in Inequalities for Special Functions. Cerone, Pietro and Dragomir, Sever S, eds. Advances in mathematical inequalities . Nova Science Publishers, New York, USA, pp. 1-35.
Cerone, Pietro (2008) Estimation of Divergence Measures with Taylor-like Results. International Journal of Mathematics, Game Theory and Algebra, 17 (3). pp. 165-181. ISSN 1060-9881
Cerone, Pietro (2008) On a Double Inequality for the Dirichlet Beta Function. Tamsui Oxford University Journal of Mathematical Sciences, 24 (3). pp. 269-276. ISSN 1561-8307
Cerone, Pietro and Dragomir, Sever S (2008) Inequalities for Dirichlet Series with Positive Terms. Acta Mathematica Vietnamica, 33 (1). pp. 65-84. ISSN 0251-4184
Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2008) Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces. Bulletin of the Korean Mathematical Society, 45 (4). pp. 763-780. ISSN 1015-8634
Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2008) Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application. Computers and Mathematics with Applications, 56 (9). pp. 2235-2246. ISSN 0898-1221
Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2008) Inequalities for Distributions on a Finite Interval. Advances in mathematical inequalities . Nova Science Publishers, New York.
Cerone, Pietro and Dragomir, Sever S (2008) A survey on bounds for the Gini mean difference. In: Advances in inequalities from probability theory and statistics. Barnett, Neil S and Dragomir, Sever S, eds. Advances in mathematical inequalities . Nova Science Publishers, New York, USA, pp. 81-111.
Barnett, Neil S, Cerone, Pietro, Dragomir, Sever S and Sofo, Anthony (2008) Approximations of f-Divergence Measures via Taylor Series Expansions : A Survey of Recent Results. In: Advances in Inequalities for Series. Dragomir, Sever S and Sofo, Anthony, eds. Advances in Mathematical Inequalities . Nova Science Publishers, New York, USA, pp. 23-64.
Cerone, Pietro (2008) Bounding the Gini Mean Difference. International Series of Numerical Mathematics, 157 (2). pp. 77-89. ISSN 0373-3149
Cerone, Pietro and Dragomir, Sever S (2008) Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications. Research report collection, 11 (2).
Cerone, Pietro, Dragomir, Sever S and McAndrew, Alasdair (2008) On a Generalised Trapezoidal Rule for Functions of Bounded Variation. Research report collection, 11 (4).
2009
Barnett, Neil S, Cerone, Pietro and Dragomir, Sever S (2009) Majorisation inequalities for Stieltjes integrals. Applied Math Letters, 22 (3). pp. 416-421. ISSN 0893-9659
Cerone, Pietro, Dragomir, Sever S and McAndrew, Alasdair (2009) On a generalised trapezoidal rule for functions of bounded variation. Asian-European Journal of Mathematics, 2 (2). pp. 191-200. ISSN 1793-5571
Cerone, Pietro (2009) On Young's Inequality and its Reverse for Bounding the Lorenz Curve and Gini Mean. Journal of Mathematical Inequalities, 3 (3). pp. 369-381. ISSN 1846-579X
Cerone, Pietro and Dragomir, Sever S (2009) Approximating the Riemann-Stieltjes integral via some moments of the integrand. Mathematical and Computer Modelling, 49 (1-2). pp. 242-248. ISSN 0895-7177
Cerone, Pietro and Dragomir, Sever S (2009) Bounding the Cebysev functional for the Riemann-Stieltjes integral via a Beesack inequality and applications. Computers and Mathematics with Applications, 58 (6). pp. 1247-1252. ISSN 0898-1221
Cerone, Pietro and Dragomir, Sever S (2009) Bounds for the r-weighted Gini mean difference of an empirical distribution. Mathematical and Computer Modelling, 49 (1-2). pp. 180-188. ISSN 0895-7177
Cerone, Pietro and Dragomir, Sever S (2009) Some convexity properties of Dirichlet series with positive terms. Mathematische Nachrichten, 282 (7). pp. 964-975. ISSN 0025-584X
Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2009) Inequalities of Gruss Type involving the p-HH-Norms in the Cartesian Product Space. Journal of Mathematical Inequalities, 3 (4). pp. 543-557. ISSN 1846-579X
Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2009) Inequalities of Grüss Type Involving the p-HH-Norms in the Cartesian Product Space. Research report collection, 12 (1).
Cerone, Pietro, Dragomir, Sever S and McAndrew, Alasdair (2009) Superadditivity and Supermultiplicity of Two Functionals Associated with the Stieltjes Integral. Research report collection, 12 (2).
Alomari, Mohammad, Darus, Maslina, Dragomir, Sever S and Cerone, Pietro (2009) Ostrowski's Inequalities for Functions Whose Derivatives are s-Convex in the Second Sense. Research report collection, 12 (Supp).
February 2009
Qi, Feng, Cerone, Pietro, Dragomir, Sever S and Srivastava, Hari (2009) Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values. Applied Mathematics and Computation, 208 (1). pp. 129-133. ISSN 0096-3003
2010
Alomari, Mohammad, Darus, Maslina, Dragomir, Sever S and Cerone, Pietro (2010) Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense. Applied Mathematics Letters, 23 (9). pp. 1071-1076. ISSN 1873-5452
Cerone, Pietro and Dragomir, Sever S (2010) Mathematical Inequalities :A Perspective. Chemical Rubber Company (CRC) Press, Boca Raton, FL.
Cerone, Pietro, Dragomir, Sever S and McAndrew, Alasdair (2010) Superadditivity and Supermultiplicity of Two Functionals Associated with the Stieltjes Integral. In: Inequality theory and Applications. Cho, Yeol Je, Kim, Jong Kyu and Dragomir, Sever S, eds. Nova Science Publishers, Huntington, N.Y., pp. 151-157.
Ahmad, Farooq, Cerone, Pietro, Dragomir, Sever S and Mir, N. A (2010) On Some Bounds of Ostrowski and Cebysev type. Journal of Mathematical Inequalities, 4 (1). pp. 53-65. ISSN 1846-579X
2012
Cerone, Pietro (2012) Series involving zeros of transcendental functions including zeta. Integral Transforms and Special Functions, 23 (10). pp. 709-718. ISSN 1065-2469
2014
Cerone, Pietro and Dragomir, Sever S ORCID: 0000-0003-2902-6805 (2014) Some new ostrowski-type bounds for the čebyšev functional and applications. Journal of Mathematical Inequalities, 8 (1). 159 - 170. ISSN 1846-579X
Dragomir, Sever S ORCID: 0000-0003-2902-6805, Cerone, Pietro and Kikianty, Eder (2014) Error Bounds for Trapezoid Type Quadrature Rules with Applications for the Mean and Variance. In: Applications of Mathematics and Informatics in Science and Engineering. Daras, NJ, ed. Springer Optimization and Its Applications, 91 . Springer, Heidelberg, pp. 77-93.
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2014) Multiplicative Ostrowski and Trapezoid Inequalities. In: Handbook of Functional Equations: Functional Inequalities. Rassias, TM, ed. Springer Optimization and Its Applications, 95 . Springer, New York, NY, pp. 57-73.
2015
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2015) Ostrowski and Trapezoid type inequalities related to Pompeiu's mean value theorem. Journal of Mathematical Inequalities, 9 (3). 739 - 762. ISSN 1846-579X
September 2015
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2015) Jensen–Ostrowski type inequalities and applications for f-divergence measures. Applied Mathematics and Computation, 266 (1). 304 - 315. ISSN 0096-3003
October 2015
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2015) On inequalities of Jensen-Ostrowski type. Journal of Inequalities and Applications, 2015. ISSN 1025-5834
1 August 2016
Dragomir, Sever S ORCID: 0000-0003-2902-6805, Cerone, Pietro and Kikianty, Eder (2016) Ostrowski and Jensen type inequalities for higher derivatives with applications. Journal of Inequalities and Special Functions, 7 (1). 61 - 77. ISSN 2217-4303
December 2017
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2017) Ostrowski and Trapezoid Type Inequalities Related to Pompeiu's Mean Value Theorem With Complex Exponential Weight. Journal of Mathematical Inequalities, 11 (4). 947 - 964. ISSN 1846-579X
1 January 2018
Cerone, Pietro, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Kikianty, Eder (2018) Jensen–Ostrowski Inequalities and Integration Schemes via the Darboux Expansion. Ukrainian Mathematical Journal, 69 (8). 1306 - 1327. ISSN 0041-5995