Inequalities Involving Functions and Their Integrals and Derivatives

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

604 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Mathematics and its Applications
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Reelle Analysis, Real-Variablen
• ISBN: 9789401055789
• Sprache: Englisch
• Erscheinungsdatum: 25.09.2012
• Größe: 235 x 155 mm
• Verlag: Springer