Norm inequalities for derivatives and differences. Lecture notes in mathematics ; 1536

Kwong, Man Kam und Anton Zettl,

ISBN 10: 3540563873 / ISBN 13: 9783540563877

Published by Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1992

About this Item

VI, 150 pages Ex-Library book in good condition. 9783540563877 Sprache: Englisch Gewicht in Gramm: 440.

Seller Inventory # 1160073

Bibliographic Details

• Title: Norm inequalities for derivatives and differences. Lecture notes in mathematics ; 1536
• Publisher: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Publication Date: 1992
• Language: English
• ISBN 10: 3540563873
• ISBN 13: 9783540563877
• Binding: Soft cover
• Weight: 440 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject.