Inequalities and Applications

Conference on Inequalities and Applications, Noszvaj (Hungary), September 2007

  • Catherine Bandle
  • László Losonczi
  • Attila Gilányi
  • Zsolt Páles
  • Michael Plum
Conference proceedings

Part of the International Series of Numerical Mathematics book series (ISNM, volume 157)

Table of contents

  1. Front Matter
    Pages i-xlviii
  2. Inequalities Related to Ordinary and Partial Differential Equations

  3. Integral Inequalities

    1. Front Matter
      Pages 51-51
    2. Pietro Cerone
      Pages 77-89
    3. Bogdan Gavrea
      Pages 91-95
    4. Ambroz Čivljak, Ljuban Dedić, Marko Matić
      Pages 109-120
    5. William Desmond Evans, Amiran Gogatishvili, Bohumír Opic
      Pages 121-132
  4. Inequalities for Operators

  5. Inequalities in Approximation Theory

  6. Generalizations of Convexity and Inequalities for Means

    1. Front Matter
      Pages 215-215
    2. Shoshana Abramovich, Silvestru S. Dragomir
      Pages 217-228
    3. Milica Klaričić Bakula, Marko Matić, Josip Pečarić
      Pages 233-243
    4. Albert W. Marshall, Ingram Olkin
      Pages 245-250
    5. Jacek Mrowiec, Jacek Tabor, Józef Tabor
      Pages 261-265
  7. Inequalities, Stability, and Functional Equations

    1. Front Matter
      Pages 267-267
    2. Włodzimierz Fechner, Justyna Sikorska
      Pages 269-281
    3. Adrienn Varga, Csaba Vincze
      Pages 305-315

About these proceedings


Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. On one hand, there is the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand, the subject is the source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics.

This volume contains the contributions of the participants of the Conference on Inequalities and Applications held in Noszvaj (Hungary) in September 2007. It is conceived in the spirit of the preceding volumes of the General Inequalities meetings held in Oberwolfach from 1976 to 1995 in the sense that it not only contains the latest results presented by the participants, but it is also a useful reference book for both lecturers and research workers. The contributions reflect the ramification of general inequalities into many areas of mathematics and also present a synthesis of results in both theory and practice.


Analysis Applications Convexity Eigenvalue Inequalities differential equation ordinary differential equation partial differential equation

Editors and affiliations

  • Catherine Bandle
    • 1
  • László Losonczi
    • 2
  • Attila Gilányi
    • 3
  • Zsolt Páles
    • 3
  • Michael Plum
    • 4
  1. 1.Institut MathematikUniversität BaselBaselSwitzerland
  2. 2.Department Economic Analysis & Information Technology for BusinessUniversity of DebrecenDebrecenHungary
  3. 3.Department of Analysis Institute Mathematics & InformaticsUniversity of DebrecenDebrecenHungary
  4. 4.Institut für AnalysisUniversität KarlsruheKarlsruheGermany

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