Inequality Theory and Applications, Volume 2

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Yeol Je Cho, Jong Kyu Kim, Sever Silvestru Dragomir
Nova Science Publishers, Incorporated, Jan 1, 2003 - Mathematics - 205 pages
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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
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