Classical and New Inequalities in Analysis by Dragoslav S. MitrinovicClassical and New Inequalities in Analysis by Dragoslav S. Mitrinovic

Classical and New Inequalities in Analysis

byDragoslav S. Mitrinovic, J. Pecaric, A.M Fink

Paperback | December 6, 2010

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Title:Classical and New Inequalities in AnalysisFormat:PaperbackDimensions:740 pagesPublished:December 6, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048142253

ISBN - 13:9789048142255

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Table of Contents

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

Editorial Reviews

` This is an excellent book that seems to prove that there is no possibility of a last word on equalities. All in all this is a book that everyone working with inequalities should have. ' Mathematical Reviews, 94c