Classical and New Inequalities in Analysis

摘要: Preface. Organization of the Book. Notations. I. Convex Functions and Jensen's Inequality. II. Some Recent Results Involving Means. III. Bernoulli's IV. Cauchy's Related Inequalities. V. Hoelder Minkowski VI. Generalized VII. Connections Between General VIII. Determinantal Matrix IX. Cebysev's X. Gruss' XI. Steffensen's XII. Abel's XIII. Inequalities for Monotone Functions. XIV. Young's XV. Bessel's XVI. Cyclic Inequations. XVII. The Centroid Method in Triangle XVIII. Norm XIX. More on XX. Gram's XXI. Frejer-Jackson's Results. XXII. Mathieu's XXIII. Shannon's XXIV. Turan's Inequality from Power Sum Theory. XXV. Continued Fractions Pade Approximation Method. XXVI. Quasilinearization Methods Proving XXVIII. Dynamic Programming Functional Equation Approaches to XXIX. Interpolation XXX. Minimax Name Index.