## Research Repository

# Browse by Author: Cerone, Pietro

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**163**.

## Article

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

Cerone, Pietro, Dragomir, Sever S and McAndrew, Alasdair
(2009)
*On a generalized trapezoidal rule for functions of bounded variation.*
Asian-European Journal of Mathematics, 2 (2).
pp. 191-200.
ISSN 1793-5571

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, Buse, 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, Buse, 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, Buse, 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

Buse, 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, Buse, 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, Buse, 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, 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).

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 Section

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.

## 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.