Ebook: Inequalities Involving Functions and Their Integrals and Derivatives

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Content:
Front Matter....Pages i-xvi
Landau-Kolmogorov and Related Inequalities....Pages 1-65
An Inequality Ascribed to Wirtinger and Related Results....Pages 66-113
Opial’s Inequality....Pages 114-142
Hardy’s, Carleman’s and Related Inequalities....Pages 143-186
Hilbert’s and Related Inequalities....Pages 187-215
Inequalities of Lyapunov and of De La Vall?e Poussin....Pages 216-239
Zmorovi?’s and Related Inequalities....Pages 240-258
Carlson’s and Related Inequalities....Pages 259-274
Inequalities Involving Kernels....Pages 275-284
Convolution, Rearrangement and Related Inequalities....Pages 285-313
Inequalities of ?aplygin Type....Pages 314-352
Inequalities of Gronwall Type of a Single Variable....Pages 353-400
Gronwall Inequalities in Higher Dimensions....Pages 401-432
Gronwall Inequalities on Other Spaces: Discrete, Functional and Abstract....Pages 433-467
Integral Inequalities Involving Functions with Bounded Derivatives....Pages 468-484
Inequalities of Bernstein-Mordell Type....Pages 485-499
Methods of Proofs for Integral Inequalities....Pages 500-521
Particular Inequalities....Pages 522-573
Back Matter....Pages 574-587

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Content:
Front Matter....Pages i-xvi
Landau-Kolmogorov and Related Inequalities....Pages 1-65
An Inequality Ascribed to Wirtinger and Related Results....Pages 66-113
Opial’s Inequality....Pages 114-142
Hardy’s, Carleman’s and Related Inequalities....Pages 143-186
Hilbert’s and Related Inequalities....Pages 187-215
Inequalities of Lyapunov and of De La Vall?e Poussin....Pages 216-239
Zmorovi?’s and Related Inequalities....Pages 240-258
Carlson’s and Related Inequalities....Pages 259-274
Inequalities Involving Kernels....Pages 275-284
Convolution, Rearrangement and Related Inequalities....Pages 285-313
Inequalities of ?aplygin Type....Pages 314-352
Inequalities of Gronwall Type of a Single Variable....Pages 353-400
Gronwall Inequalities in Higher Dimensions....Pages 401-432
Gronwall Inequalities on Other Spaces: Discrete, Functional and Abstract....Pages 433-467
Integral Inequalities Involving Functions with Bounded Derivatives....Pages 468-484
Inequalities of Bernstein-Mordell Type....Pages 485-499
Methods of Proofs for Integral Inequalities....Pages 500-521
Particular Inequalities....Pages 522-573
Back Matter....Pages 574-587
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