Cerone, Pietro

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Article

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

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

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

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

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

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

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

Cerone, Pietro (2012) Series involving zeros of transcendental functions including zeta. Integral Transforms and Special Functions, 23 (10). pp. 709-718. ISSN 1065-2469

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

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

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

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).

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

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).

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 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).

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).

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

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

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).

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).

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).

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

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).

Cerone, Pietro (2003) On Applications Of The Integral Of Products Of Functions And Its Bounds. RGMIA research report collection, 6 (3).

Cerone, Pietro (2003) Bounding Mathieu Type Series. RGMIA research report collection, 6 (3).

Cerone, Pietro and Lenard, Christopher (2003) On Integral Forms of Generalised Mathieu Series. RGMIA research report collection, 6 (2).

Cerone, Pietro and Dragomir, Sever S (2003) New Bounds for the Čebyšev Functional. RGMIA research report collection, 6 (2).

Cerone, Pietro and Dragomir, Sever S (2003) Approximation of the Stieltjes Integral and Applications in Numerical Integration. RGMIA research report collection, 6 (1).

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).

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).

Cerone, Pietro (2002) On Some Results Involving the Čebyšev Functional and its Generalisations. RGMIA research report collection, 5 (3).

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).

Cerone, Pietro and Dragomir, Sever S (2002) A Refinement of the Grüss Inequality and Applications. RGMIA research report collection, 5 (2).

Cerone, Pietro and Dragomir, Sever S (2002) New Upper and Lower Bounds for the Čebyšev Functional. RGMIA research report collection, 5 (Supp).

Sofo, Anthony and Cerone, Pietro (2002) A Note on an Erdös Problem. RGMIA research report collection, 5 (2).

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).

Qi, Feng, Cerone, Pietro and Dragomir, Sever S (2001) Some New Iyengar Type Inequalities. RGMIA research report collection, 5 (2).

Cerone, Pietro (2001) Generalised Taylor's Formula with Estimates of the Remainder. RGMIA research report collection, 5 (2).

Cerone, Pietro (2001) Three point rules in numerical integration. Nonlinear analysis, 47 (4). pp. 2341-2352. ISSN 0362-546x

Cerone, Pietro (2001) Multidimensional Integration via Trapezoidal and Three Point Generators. RGMIA research report collection, 4 (4).

Cerone, Pietro (2001) Approximate Multidimensional Integration Through Dimension Reduction via the Ostrowski Functional. RGMIA research report collection, 4 (3).

Cerone, Pietro (2001) Weighted Three Point Identities and their Bounds. RGMIA research report collection, 4 (4).

Cerone, Pietro and Roumeliotis, John (2001) Generalised Weighted Trapezoidal Rules and Relationship to Ostrowski Results. RGMIA research report collection, 4 (3).

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).

Cerone, Pietro (2001) On Perturbed Trapezoidal and Midpoint Rules. RGMIA research report collection, 4 (2).

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).

Cerone, Pietro (2001) On Relationships Between Ostrowski, Trapezoidal and Chebychev Identities and Inequalities. RGMIA research report collection, 4 (2).

Cerone, Pietro and Dragomir, Sever S (2001) Differences Between Means with Bounds from a Riemann-Stieltjes Integral. RGMIA research report collection, 4 (2).

Cerone, Pietro (2001) A New Ostrowski Type Inequality Involving Integral Means Over End Intervals. RGMIA research report collection, 4 (2).

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).

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).

Cerone, Pietro (2000) Perturbed Rules in Numerical Integration from Product Branched Peano Kernels. RGMIA research report collection, 3 (4).

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

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).

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).

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).

Cerone, Pietro (2000) Three Point Rules in Numerical Integration. RGMIA research report collection, 3 (2).

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).

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).

Cerone, Pietro and Dragomir, Sever S (2000) New Bounds for a Perturbed Generalised Taylor's Formula. RGMIA research report collection, 3 (2).

Cerone, Pietro and Dragomir, Sever S (2000) On Some Inequalities for the Expectation and Variance. RGMIA research report collection, 3 (1).

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).

Hanna, George T, Dragomir, Sever S and Cerone, Pietro (2000) A General Ostrowski Type Inequality for Double Integrals. RGMIA research report collection, 3 (2).

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).

Cerone, Pietro and Dragomir, Sever S (2000) On Some Inequalities Arising from Montgomery's Identity. RGMIA research report collection, 3 (2).

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).

Cerone, Pietro and Dragomir, Sever S (1999) Trapezoidal Type Rules from an Inequalities Point of View. RGMIA research report collection, 2 (6).

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).

Cerone, Pietro and Dragomir, Sever S (1999) Three Point Quadrature Rules Involving, at Most, a First Derivative. RGMIA research report collection, 2 (4).

Dragomir, Sever S, Cerone, Pietro and Sofo, Anthony (1999) Some Remarks on the Trapezoid Rule In Numerical Integration. RGMIA research report collection, 2 (5).

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).

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).

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).

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).

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).

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).

Book

Cerone, Pietro and Dragomir, Sever S (2010) Mathematical Inequalities :A Perspective. Chemical Rubber Company (CRC) Press, Boca Raton, FL.

Cerone, Pietro and Dragomir, Sever S, eds. (2008) Advances in Inequalities for Special Functions. Advances in mathematical inequalities . Nova Science Publishers, New York.

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.

Book Section

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.

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.

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 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 (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.

Monograph

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.

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.

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.

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.

Cerone, Pietro and Sofo, Anthony (1995) Binomial type sums. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

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.

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.

Cerone, Pietro (1994) On digit swaps and shifts. Technical Report. Victoria University of Technology. Department of Computer and Mathematical Sciences, Footscray, Vic.

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.

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.

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.