International Series of Numerical Mathematics

Inequalities and Applications 2010

Dedicated to the Memory of Wolfgang Walter

Editors: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (Eds.)

  • The contributions reflect theoretical and practical aspects of mathematical inequalities
  • Covers a broad spectrum of inequalities ranging from the field of PDEs and computer assisted proofs to geometrical contexts
  • Applications span from mathematical physics and biology to economics
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About this book

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.

Table of contents (21 chapters)

  • Domain Derivatives for Energy Functionals with Boundary Integrals

    Bandle, Catherine (et al.)

    Pages 3-17

  • The Asymptotic Shape of a Boundary Layer of Symmetric Willmore Surfaces of Revolution

    Grunau, Hans-Christoph

    Pages 19-29

  • A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

    McKenna, Patrick J. (et al.)

    Pages 31-52

  • Green Function Estimates Lead to Neumann Function Estimates

    Sweers, Guido

    Pages 53-63

  • Deriving Inequalities in the Laguerre-Pólya Class from Properties of Half-Plane Mappings

    Batra, Prashant

    Pages 67-86

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-0249-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-0348-0248-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-0809-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Inequalities and Applications 2010
Book Subtitle
Dedicated to the Memory of Wolfgang Walter
Editors
  • Catherine Bandle
  • Attila Gilányi
  • László Losonczi
  • Michael Plum
Series Title
International Series of Numerical Mathematics
Series Volume
161
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0249-9
DOI
10.1007/978-3-0348-0249-9
Hardcover ISBN
978-3-0348-0248-2
Softcover ISBN
978-3-0348-0809-5
Series ISSN
0373-3149
Edition Number
1
Number of Pages
LXX, 274
Topics