Inequalities Involving Functions and Their Integrals and Derivatives [Paperback]

I. Landau-Kolmogorov and related inequalities.- II. An inequality ascribed to Wirtinger and related results.- III. Opials inequality.- IV. Hardys, Carlemans and related inequalities.- V. Hilberts and related inequalities.- VI. Inequalities of Lyapunov and of De la Vall?e Poussin.- VII. Zmorovi?s and related inequalities.- VIII. Carlsons 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.Springer Book Archives