Inequalities Involving Functions and Their Integrals and Derivatives

1991
ISBN: 978-0-7923-1330-4
Verlag: Springer Netherlands

Buch, Englisch, Band 53, 587 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1062 g

Reihe: Mathematics and its Applications

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Zielgruppe

Research

Autoren/Hrsg.

Mitrinovic, Dragoslav S.

Fink, A. M

Pecaric, J.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.