General Inequalities 7

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

  • Catherine Bandle
  • William N. Everitt
  • Laszlo Losonczi
  • Wolfgang Walter

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Inequalities in Analysis

    1. Front Matter
      Pages 1-1
    2. Pavel Drábek, Hans P. Heinig, Alois Kufner
      Pages 3-16
    3. Gradimir V. Milovanović
      Pages 17-25
    4. C. E. M. Pearce, J. Pečarić, S. Varošanec
      Pages 27-37
  3. Inequalities for Matrices and Discrete Problems

  4. Inequalities for Eigenvalue Problems

    1. Front Matter
      Pages 93-93
    2. M. S. Ashbaugh, R. D. Benguria, R. S. Laugesen
      Pages 95-110
    3. Mark S. Ashbaugh, Rafael D. Benguria
      Pages 111-128
    4. W. N. Everitt, M. Möller, A. Zettl
      Pages 145-150
  5. Inequalities for Differential Operators

    1. Front Matter
      Pages 151-151
    2. Horst Alzer
      Pages 153-156

About these proceedings

Introduction

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.

Keywords

Algebra Arithmetic Finite analysis calculus convex geometry equation function linear algebra mathematics proof theorem

Editors and affiliations

  • Catherine Bandle
    • 1
  • William N. Everitt
    • 2
  • Laszlo Losonczi
    • 3
  • Wolfgang Walter
    • 4
  1. 1.Institute of MathematicsUniversity of BaselBaselSwitzerland
  2. 2.School of Mathematics and StatisticsUniversity of BirminghamBirminghamEngland, UK
  3. 3.Department of Mathematics and Computer ScienceKuwait UniversitySafatKuwait
  4. 4.Institue of Mathematics IUniversity of KarlsruheKarlsruheGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-8942-1
  • Copyright Information Birkhäuser Verlag 1997
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9837-9
  • Online ISBN 978-3-0348-8942-1
  • About this book
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