Inequalities Involving Functions and Their Integrals and Derivatives

Mitrinovic, Dragoslav S.; Pecaric, J.; Fink, A.M.

ISBN 10: 0792313305 / ISBN 13: 9780792313304

Editore: Kluwer Academic Publishers, 1991

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Provides a comprehensive survey of inequalities that involve a relationship between a function and its derivatives or integrals. This book is divided into 18 chapters dealing with specific inequalities such as those of Kolmogorov-Landau, Wirtinger, Hardy, Carlson, and others. It is for those involved in differential and integral equations. Series: Mathematics and its Applications. Num Pages: 587 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 33. Weight in Grams: 1017. . 1991. Hardback. . . . .

Codice articolo V9780792313304

Dati bibliografici

• Titolo: Inequalities Involving Functions and Their Integrals and Derivatives
• Editore: Kluwer Academic Publishers
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0792313305
• ISBN 13: 9780792313304
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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Contenuti

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.