Author : Man K. Kwong
Publisher : Springer
ISBN 13 : 3540475486
Total Pages : 157 pages
Book Rating : 4.5/5 (44 download)
Book Synopsis Norm Inequalities for Derivatives and Differences by : Man K. Kwong
Download or read book Norm Inequalities for Derivatives and Differences written by Man K. Kwong and published by Springer. This book was released on 2006-11-15 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.