Inequalities Involving Functions and Their Integrals and Derivatives by Dragoslav S. MitrinovicInequalities Involving Functions and Their Integrals and Derivatives by Dragoslav S. Mitrinovic

Inequalities Involving Functions and Their Integrals and Derivatives

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

Paperback | September 25, 2012

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Title:Inequalities Involving Functions and Their Integrals and DerivativesFormat:PaperbackDimensions:587 pagesPublished:September 25, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401055785

ISBN - 13:9789401055789

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Table of Contents

I. Landau-Kolmogorov and related inequalities.- II. An inequality ascribed to Wirtinger and related results.- III. Opial's inequality.- IV. Hardy's, Carleman's and related inequalities.- V. Hilbert's and related inequalities.- VI. Inequalities of Lyapunov and of De la Vallée Poussin.- VII. Zmorovi?'s and related inequalities.- VIII. Carlson's and related inequalities.- IX. Inequalities involving kernels.- X. Convolution, rearrangement and related inequalities.- XI. Inequalities of Caplygin type.- XII. Inequalities of Gronwall type of a single variable.- XIII. Gronwall inequalities in higher dimension.- XIV. Gronwall inequalities on other spaces: discrete, functional and abstract.- XV. Integral inequalities involving functions with bounded derivatives.- XVI. Inequalities of Bernstein-Mordell type.- XVII. Methods of proofs for integral inequalities.- XVIII. Particular inequalities.- Name Index.