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General Inequalities 6

6th International Conference on General Inequalities, Oberwolfach, Dec. 9–15, 1990

  • Book
  • © 1992

Overview

Editors:
  1. Wolfgang Walter

    1. Mathematisches Institut I, Universität Karlsruhe, Karlsruhe 1, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 103)

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Table of contents (54 chapters)

  1. Front Matter

    Pages i-xxxiii
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  2. István Fenyő (1917–1987) in memoriam

    1. István Fenyő (1917–1987) in memoriam

      • János Aczél
      Pages 1-2

  3. Inequalities for Sums, Series and Integrals

    1. Front Matter

      Pages 3-3
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    2. Inequalities for pseudo arithmetic and geometric means

      • Horst Alzer
      Pages 5-16

    3. A review of Shapiro’s cyclic inequality

      • Achim Clausing
      Pages 17-31

    4. Some remarks on the Hardy inequality for higher order derivatives

      • Alois Kufner, Andreas Wannebo
      Pages 33-48

    5. Copson’s inequalities for series and their variations

      • R. N. Mohapatra, D. C. Russell, K. Vajravelu
      Pages 49-58

    6. Comparison of two variable homogeneous means

      • Zsolt Páles
      Pages 59-70

  4. Inequalities in Analysis and Approximation

    1. Front Matter

      Pages 71-71
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    2. Sharp inequalities in polynomial interpolation

      • Ravi P. Agarwal
      Pages 73-92

    3. Discrete variational inequalities

      • Calvin D. Ahlbrandt
      Pages 93-107

    4. Differential inequalities for Minkowski functionals of level sets

      • Giuseppe Chiti, Marco Longinetti
      Pages 109-127

    5. Some best constant inequalities for conjugate functions

      • Matts Essén
      Pages 129-140

    6. Remarks on trigonometric inequalities

      • L. Lorch, D. C. Russell
      Pages 141-149

    7. On an extremal property of nonnegative trigonometric polynomials

      • László Losonczi
      Pages 151-160

    8. On polynomial inequalities and extremal problems

      • Themistocles M. Rassias
      Pages 161-174

    9. An inequality between u* and |grad u|*

      • Giorgio Talenti
      Pages 175-182

  5. Inequalities of Functional Analysis

    1. Front Matter

      Pages 183-183
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    2. Inequalities for summability factors

      • W. Beekmann, K. Zeller
      Pages 185-192

    3. Seminorms and multiplicativity factors

      • Moshe Goldberg
      Pages 193-200
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Keywords

About this book

The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa­ rest, Germany). The organizing committee was composed of W.N. Everitt (Birm­ ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con­ ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played by modern electronic computers was made clear in testing out and prohing into the validity and structure of certain inequalities. Here the computer acts not only for numerical calculations of great complexity, but also in symbolic manipulation of complex finite structures. Prob­ lems in inequalities which even a few years ago were intractable, now fall to solution or receive direct and positive guidance as a result of computer applications. The interface between finite and infinite structures in mathematics and the versatility of modern computers is weil developed in the subject of general inequalities.

Editors and Affiliations

  • Mathematisches Institut I, Universität Karlsruhe, Karlsruhe 1, Germany

    Wolfgang Walter

Bibliographic Information

  • Book Title: General Inequalities 6

  • Book Subtitle: 6th International Conference on General Inequalities, Oberwolfach, Dec. 9–15, 1990

  • Editors: Wolfgang Walter

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7565-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1992

  • Hardcover ISBN: 978-3-7643-2737-8Due: 10 April 1992

  • Softcover ISBN: 978-3-0348-7567-7Published: 15 April 2014

  • eBook ISBN: 978-3-0348-7565-3Published: 11 November 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XXXIII, 508

  • Number of Illustrations: 8 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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