Inequality Theory and Applications

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