Inequalities Involving Functions and Their Integrals and Derivatives

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.