Inequalities and Applications 2010

Dedicated to the Memory of Wolfgang Walter

  • Catherine Bandle
  • Attila Gilányi
  • László Losonczi
  • Michael Plum
Part of the International Series of Numerical Mathematics book series (ISNM, volume 161)

Table of contents

  1. Front Matter
    Pages I-LXX
  2. Boundary Value Problems

    1. Front Matter
      Pages 1-1
    2. Catherine Bandle, Alfred Wagner
      Pages 3-17
    3. Patrick J. McKenna, Filomena Pacella, Michael Plum, Dagmar Roth
      Pages 31-52
  3. Numerical Methods

    1. Front Matter
      Pages 65-65
    2. Luís P. Castro, Hiroshi Fujiwara, Saburou Saitoh, Yoshihiro Sawano, Akira Yamada, Masato Yamada
      Pages 87-101
    3. Paulina Mitrea, Octavian Mircia Gurzău, Alexandru Ioan Mitrea
      Pages 103-115
  4. Geometric and Norm Inequalities

    1. Front Matter
      Pages 117-117
    2. Bernd Kawohl, Vasilii V. Kurta
      Pages 119-124
    3. Kichi-Suke Saito, Masaru Tominaga
      Pages 137-148
  5. Generalized Convexity

    1. Front Matter
      Pages 149-149
    2. Kazimierz Nikodem, Teresa Rajba, Szymon Wąsowicz
      Pages 175-182
    3. Jacek Tabor, Józef Tabor, Marek Żołdak
      Pages 183-188
  6. Convexity and Related Inequalities

    1. Front Matter
      Pages 189-189

About these proceedings

Introduction

Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics.

This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area.

 

Keywords

computer assisted proofs convexity inequalities and applications partial differential equations theory of means

Editors and affiliations

  • Catherine Bandle
    • 1
  • Attila Gilányi
    • 2
  • László Losonczi
    • 3
  • Michael Plum
    • 4
  1. 1.Institute of MathematicsUniversity of BaselBaselSwitzerland
  2. 2.Faculty of InformaticsUniversity of DebrecenDebrecenHungary
  3. 3.Department of Economic Analysis, and Information Technology for BusinessUniversity of DebrecenDebrecenHungary
  4. 4., Institute of AnalysisKITKarlsruheGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0249-9
  • Copyright Information Springer Basel 2012
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0248-2
  • Online ISBN 978-3-0348-0249-9