Book Volume 53 1991

Inequalities Involving Functions and Their Integrals and Derivatives

Authors:

ISBN: 978-94-010-5578-9 (Print) 978-94-011-3562-7 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvi

  2. Chapter

    Pages 1-65

    Landau-Kolmogorov and Related Inequalities

  3. Chapter

    Pages 66-113

    An Inequality Ascribed to Wirtinger and Related Results

  4. Chapter

    Pages 114-142

    Opial’s Inequality

  5. Chapter

    Pages 143-186

    Hardy’s, Carleman’s and Related Inequalities

  6. Chapter

    Pages 187-215

    Hilbert’s and Related Inequalities

  7. Chapter

    Pages 216-239

    Inequalities of Lyapunov and of De La Vallée Poussin

  8. Chapter

    Pages 240-258

    Zmorovič’s and Related Inequalities

  9. Chapter

    Pages 259-274

    Carlson’s and Related Inequalities

  10. Chapter

    Pages 275-284

    Inequalities Involving Kernels

  11. Chapter

    Pages 285-313

    Convolution, Rearrangement and Related Inequalities

  12. Chapter

    Pages 314-352

    Inequalities of Čaplygin Type

  13. Chapter

    Pages 353-400

    Inequalities of Gronwall Type of a Single Variable

  14. Chapter

    Pages 401-432

    Gronwall Inequalities in Higher Dimensions

  15. Chapter

    Pages 433-467

    Gronwall Inequalities on Other Spaces: Discrete, Functional and Abstract

  16. Chapter

    Pages 468-484

    Integral Inequalities Involving Functions with Bounded Derivatives

  17. Chapter

    Pages 485-499

    Inequalities of Bernstein-Mordell Type

  18. Chapter

    Pages 500-521

    Methods of Proofs for Integral Inequalities

  19. Chapter

    Pages 522-573

    Particular Inequalities

  20. Back Matter

    Pages 574-587