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On Notations and Definitions1��Introduction1��1 Real Number System1��1��1 Axioms of the Set of Real Numbers1��1��2 Order Ptoperties of Real Numbcrs1��2 Complex Number System1��3 Monotonc Functions1��4 Convex Functions1��4��1 Definitions of Jensen Convex Functions1��4��2 Continuity of Jenscn Convex Functions1��4��3 Convex Functions1��4��4 Continuity and Differentiability of Convex Functions1��4��5 Logarithmically Convex Functions1��4��6 Some Extensions of the Concept of Convex Functions1��4��7 Hierarchy of Convexity2��General Inequalities2��1 Fundamental Inequalities2��1��1 Simple Means2��1��2 Cauchy's Inequality2��2 Abel's Inequality2��3 Jordan's Inequality2��4 Bemoulli's Inequality and its Generalizations2��5 Cebysev's and Related Inequalities2��6 Cauchy's and Related Inequalities2��6��1 Some Refinements and Extensjons of Cauchy's Inequality2��6��2 Gram's Inequality2��7 Young's Inequality2��8 Holder's Inequality2��9 Minkowski's and Related Inequalities2��10 Inequalities of Aczel�� Popoviciu�� Kurepa and Bellman2��11 Schweitzer's�� Diaz-Metcalf's�� Rennie's and Related Inequalities2��12 An Inequality of Fan and Todd2��13 Gross'Inequality2��14 Means2��14��1 Definitions2��14��2 Inequalities Involving Means2��14��3 Ratios and Differences of Means2��14��4 Refinement of the Arithmetic-Geometric Mean Inequality2��14��5 Some General Inequalities Involving Means2��14��6 The ��-Method of Mitrinovic and Vasic2��15 Symmetric Means and Functions2��15��1 Definitions and Main Relations between Symmetric Means2��15��2 Inequalities of Rado-Popoviciu Type2��15��3 Concavity of Certain Functions Involving the Elementary Symmetric Functions2��16 Steffensen's and Related Inequalities2��17 Schur's Inequality2��18 Turan's Inequalities2��19 Benson's Method2��20 Recurrent Inequalities of Redheffer2��21 Cyclic Inequalities2��22 Inequalities Involving Derivatives2��23 Integral Inequalities Involving Derivatives2��23��1 An Inequality Ascribed to Wirtinger2��23��2 An Inequality of Opial2��24 Inequalities Connected with Majorization of Vectors2��25 Inequalities for Vector Norms2��25��1 Triangle Inequality2��25��2 An Identity of Hlawka and the Associated Inequality2��25��3 An Inequality of Hornich2��25��4 Generalizations of Hlawka's Inequality2��25��5 A SteinitzGross Result2��26 Mills Ratio and Some Related Rcsults2��27 Stirling's Formula 3��Particular Inequalities3��1 Inequalities Involving Functions of Discrete Variables3��2 Inequalities Involving Algebraic Functions3��3 Inequalities Involving Polynomials3��4 Incqualities Involving Trigonometric Functions3��5 Inequalities Involving Trigonmetric Polynomials3��6 Inequalities Involving Exponential�� Logarithmic and Gamma Functions3��7 Integral Inequalities3��8 Inequalities in the Complex Domain3��9 Miscellaneous InequalitiesName IndexSubject Index