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Inequalities Involving Functions and Their Integrals and Derivatives

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Cover of 'Inequalities Involving Functions and Their Integrals and Derivatives'

Table of Contents

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    Book Overview
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    Chapter 1 Landau-Kolmogorov and Related Inequalities
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    Chapter 2 An Inequality Ascribed to Wirtinger and Related Results
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    Chapter 3 Opial’s Inequality
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    Chapter 4 Hardy’s, Carleman’s and Related Inequalities
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    Chapter 5 Hilbert’s and Related Inequalities
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    Chapter 6 Inequalities of Lyapunov and of De La Vallée Poussin
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    Chapter 7 Zmorovič’s and Related Inequalities
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    Chapter 8 Carlson’s and Related Inequalities
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    Chapter 9 Inequalities Involving Kernels
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    Chapter 10 Convolution, Rearrangement and Related Inequalities
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    Chapter 11 Inequalities of Čaplygin Type
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    Chapter 12 Inequalities of Gronwall Type of a Single Variable
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    Chapter 13 Gronwall Inequalities in Higher Dimensions
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    Chapter 14 Gronwall Inequalities on Other Spaces: Discrete, Functional and Abstract
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    Chapter 15 Integral Inequalities Involving Functions with Bounded Derivatives
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    Chapter 16 Inequalities of Bernstein-Mordell Type
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    Chapter 17 Methods of Proofs for Integral Inequalities
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    Chapter 18 Particular Inequalities
Attention for Chapter 4: Hardy’s, Carleman’s and Related Inequalities
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