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Inequalities Involving Functions and Their Integrals and Derivatives

  • Book
  • © 1991

Overview

Authors:
  1. D. S. Mitrinović

    1. University of Belgrade, Yugoslavia

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  2. J. E. Pečarić

    1. University of Zagreb, Yugoslavia

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    You can also search for this author in PubMed   Google Scholar

  3. A. M. Fink

    1. Iowa State University, Ames, USA

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Part of the book series: Mathematics and its Applications (MAEE, volume 53)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Landau-Kolmogorov and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 1-65

  3. An Inequality Ascribed to Wirtinger and Related Results

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 66-113

  4. Opial’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 114-142

  5. Hardy’s, Carleman’s and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 143-186

  6. Hilbert’s and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 187-215

  7. Inequalities of Lyapunov and of De La Vallée Poussin

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 216-239

  8. Zmorovič’s and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 240-258

  9. Carlson’s and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 259-274

  10. Inequalities Involving Kernels

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 275-284

  11. Convolution, Rearrangement and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 285-313

  12. Inequalities of Čaplygin Type

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 314-352

  13. Inequalities of Gronwall Type of a Single Variable

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 353-400

  14. Gronwall Inequalities in Higher Dimensions

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 401-432

  15. Gronwall Inequalities on Other Spaces: Discrete, Functional and Abstract

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 433-467

  16. Integral Inequalities Involving Functions with Bounded Derivatives

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 468-484

  17. Inequalities of Bernstein-Mordell Type

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 485-499

  18. Methods of Proofs for Integral Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 500-521

  19. Particular Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 522-573

  20. Back Matter

    Pages 574-587
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Keywords

Authors and Affiliations

  • University of Belgrade, Yugoslavia

    D. S. Mitrinović

  • University of Zagreb, Yugoslavia

    J. E. Pečarić

  • Iowa State University, Ames, USA

    A. M. Fink

Bibliographic Information

  • Book Title: Inequalities Involving Functions and Their Integrals and Derivatives

  • Authors: D. S. Mitrinović, J. E. Pečarić, A. M. Fink

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3562-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1991

  • Hardcover ISBN: 978-0-7923-1330-4Published: 31 July 1991

  • Softcover ISBN: 978-94-010-5578-9Published: 25 September 2012

  • eBook ISBN: 978-94-011-3562-7Published: 06 December 2012

  • Series ISSN: 0169-507X

  • Edition Number: 1

  • Number of Pages: XVI, 587

  • Topics: Real Functions, Measure and Integration, Integral Equations

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