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General Inequalities 7

7th International Conference at Oberwolfach, November 13–18, 1995

  • Conference proceedings
  • © 1997

Overview

Editors:
  1. Catherine Bandle

    1. Institute of Mathematics, University of Basel, Basel, Switzerland

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  2. William N. Everitt

    1. School of Mathematics and Statistics, University of Birmingham, Birmingham, England, UK

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  3. Laszlo Losonczi

    1. Department of Mathematics and Computer Science, Kuwait University, Safat, Kuwait

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  4. Wolfgang Walter

    1. Institue of Mathematics I, University of Karlsruhe, Karlsruhe, Germany

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 123)

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Table of contents (35 papers)

  1. Front Matter

    Pages i-xii
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  2. Inequalities in Analysis

    1. Front Matter

      Pages 1-1
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    2. Higher dimensional Hardy inequality

      • Pavel Drábek, Hans P. Heinig, Alois Kufner
      Pages 3-16

    3. Integral inequalities for algebraic polynomials

      • Gradimir V. Milovanović
      Pages 17-25

    4. Inequalities of Gauß-Minkowski type

      • C. E. M. Pearce, J. Pečarić, S. Varošanec
      Pages 27-37

    5. Natural norm inequalities in nonlinear transforms

      • Saburou Saitoh
      Pages 39-52

  3. Inequalities for Matrices and Discrete Problems

    1. Front Matter

      Pages 53-53
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    2. Positive definiteness of discrete quadratic functional

      • Martin Bohner
      Pages 55-60

    3. Stable norms — Examples and remarks

      • Moshe Goldberg
      Pages 61-64

    4. Applications of order preserving operator inequalities to a generalized relative operator entropy

      • Takayuki Furuta
      Pages 65-76

    5. The arithmetic mean — the geometric mean and related matrix inequalities

      • J. Pečarić, B. Mond
      Pages 77-91

  4. Inequalities for Eigenvalue Problems

    1. Front Matter

      Pages 93-93
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    2. Inequalities for the first eigenvalues of the clamped plate and buckling problems

      • M. S. Ashbaugh, R. D. Benguria, R. S. Laugesen
      Pages 95-110

    3. On the Payne-Pólya-Weinberger conjecture on the n-dimensional sphere

      • Mark S. Ashbaugh, Rafael D. Benguria
      Pages 111-128

    4. Norm Eigenvalue bounds for some weighted Sturm-Liouville problems

      • R. C. Brown, D. B. Hinton
      Pages 129-144

    5. Discontinuous dependence of the n-th Sturm-Liouville eigenvalue

      • W. N. Everitt, M. Möller, A. Zettl
      Pages 145-150

  5. Inequalities for Differential Operators

    1. Front Matter

      Pages 151-151
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    2. Note on Wirtinger’s inequality

      • Horst Alzer
      Pages 153-156

    3. Opial-type inequalities involving higher order partial derivatives of two functions

      • Ravi P. Agarwal, Peter Y. H. Pang
      Pages 157-178

    4. The HELP type integral inequalities for 2n th order differential operators

      • B. M. Brown, N. G. J. Dias
      Pages 179-192
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Keywords

About this book

Inequalities continue to play an essential role in mathematics. The subject is per­ haps the last field that is comprehended and used by mathematicians working in all the areas of the discipline of mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities. New inequalities are discovered ev­ ery year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. So extensive are these developments that a new mathematical periodical devoted exclusively to inequalities will soon appear; this is the Journal of Inequalities and Applications, to be edited by R. P. Agar­ wal. Nowadays it is difficult to follow all these developments and because of lack of communication between different groups of specialists many results are often rediscovered several times. Surveys of the present state of the art are therefore in­ dispensable not only to mathematicians but to the scientific community at large. The study of inequalities reflects the many and various aspects of mathemat­ ics. There is on the one hand the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand the subject is a source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are many applications in a wide variety of fields from mathematical physics to biology and economics.

Editors and Affiliations

  • Institute of Mathematics, University of Basel, Basel, Switzerland

    Catherine Bandle

  • School of Mathematics and Statistics, University of Birmingham, Birmingham, England, UK

    William N. Everitt

  • Department of Mathematics and Computer Science, Kuwait University, Safat, Kuwait

    Laszlo Losonczi

  • Institue of Mathematics I, University of Karlsruhe, Karlsruhe, Germany

    Wolfgang Walter

Bibliographic Information

  • Book Title: General Inequalities 7

  • Book Subtitle: 7th International Conference at Oberwolfach, November 13–18, 1995

  • Editors: Catherine Bandle, William N. Everitt, Laszlo Losonczi, Wolfgang Walter

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8942-1

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1997

  • Hardcover ISBN: 978-3-7643-5722-1Published: 01 April 1997

  • Softcover ISBN: 978-3-0348-9837-9Published: 13 October 2012

  • eBook ISBN: 978-3-0348-8942-1Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: XII, 404

  • Topics: Numerical Analysis, Algebra, Geometry

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