## Inequality Theory and Applications, Volume 2Yeol Je Cho, Jong Kyu Kim, Sever Silvestru Dragomir The aim of this volume is to introduce and exchange recent new topics in the areas of probability theory and applications in inequality theory, stochastic analysis and applications. Contents: Preface; Aczel's Inequality, Superadditivity and Horistology; Some Inequalities for the Integral Mean of Holder Continuous Functions Defined on Disks in a Plane; Ostrowski Type Inequalities for Functions whose Modulus of the Derivatives are Convex and Applications; Generalised Taylor's Formula with Estimates of the Remainder; Three-Point Rules and Applications for Absolutely Continuous Functions; On Parallelogram Law and Bohr's Inequality in n-Inner Product Spaces; An Integral Inequality Related to the Ostrowski Result and Applications; On Some Variants of Jensen's Inequality; Proofs of Wilker's Inequalities Involving Trigonometric Functions; Some Osrowski Type Inequalities for Double Integrals if Functions whose Partial Derivatives Satisfy Certain Convexity Properties; On the Mappings of Conservative Distances; A New Analogue Gauss' Functional Equations and Characterizations of Integral Mean Values; Moments Inequalities of a Random Variable Defined over a Finite Interval; On Norm Inequalities |

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### Contents

Ostrowski Type Inequalities for Functions whose Modulus | 19 |

Generalised Taylors Formula with Estimates of the Remainder | 33 |

ThreePoint Rules and Applications for Absolutely Continuous Functions | 53 |

Copyright | |

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### Other editions - View all

Inequality Theory and Applications, Volume 5 Yeol Je Cho,Jong Kyu Kim,Sever S. Dragomir Limited preview - 2007 |

Inequality Theory and Applications, Volume 4 Yeol Je Cho,Jong Kyu Kim,Sever Silvestru Dragomir Limited preview - 2007 |

### Common terms and phrases

2000 Mathematics Subject 2003 Nova Science absolutely continuous function Appell polynomials Appl assumptions Cerone classical convex function convex mapping defined divergence Email following corollary following inequality holds following result following theorem functional equation Furuta Furuta inequality generalised Taylor's formula gives Griiss Gyeongsang National University Hermite-Hadamard identity Inequalities involving Inequality Theory inner product integral inequality integral mean isometry J. E. Pecaric J. K. Kim Jensen's inequality Jiaozuo JJd(C,R Key words Kim and S. S. Kn(t Kyungnam University Lemma Math Mathematics Subject Classification Matic n-inner product spaces National University norm inequality Nova Science Publishers Ostrowski type inequality Ostrowski's inequality parametric projection partial derivatives Pn(t polynomials Professor Proof quadrature rules Rassias real numbers Remark reverse inequality S. S. Dragomir satisfy the conditions sin2 superadditive Theorem Theorem 2.1 Theory and Applications trapezoidal rule Victoria University Volume 2 ISBN Wang words and phrases xi+1 Y. J. Cho