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Classical and New Inequalities in Analysis

  • Book
  • © 1993

Overview

Authors:
  1. D. S. Mitrinović

    1. University of Belgrade, Belgrade, Yugoslavia

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    You can also search for this author in PubMed   Google Scholar

  2. J. E. Pečarić

    1. University of Zagreb, Zagreb, Croatia

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    You can also search for this author in PubMed   Google Scholar

  3. A. M. Fink

    1. Department of Mathematics, Iowa State University of Science and Technology, Ames, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MAEE, volume 61)

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Convex Functions and Jensen’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 1-19

  3. Some Recent Results Involving Means

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 21-63

  4. Bernoulli’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 65-81

  5. Cauchy’s and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 83-98

  6. Hölder’s and Minkowski’s Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 99-133

  7. Generalized Hölder and Minkowski Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 135-189

  8. Connections between General Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 191-209

  9. Some Determinantal and Matrix Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 211-238

  10. Čebyšev’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 239-293

  11. Grüss’ Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 295-310

  12. Steffensen’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 311-332

  13. Abel’s and Related Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 333-363

  14. Some Inequalities for Monotone Functions

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 365-378

  15. Young’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 379-389

  16. Bessel’s Inequality

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 391-405

  17. Cyclic Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 407-471

  18. Triangle Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 473-513

  19. Norm Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 515-558

  20. More on Norm Inequalities

    • D. S. Mitrinović, J. E. Pečarić, A. M. Fink
    Pages 559-594
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Reviews

` This is an excellent book that seems to prove that there is no possibility of a last word on equalities. All in all this is a book that everyone working with inequalities should have. '
Mathematical Reviews, 94c

Authors and Affiliations

  • University of Belgrade, Belgrade, Yugoslavia

    D. S. Mitrinović

  • University of Zagreb, Zagreb, Croatia

    J. E. Pečarić

  • Department of Mathematics, Iowa State University of Science and Technology, Ames, USA

    A. M. Fink

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