Norm Inequalities for Derivatives and Differences book
Norm Inequalities for Derivatives and Differences book
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Author: Man Kam Kwong
Number of Pages: 152 pages
Published Date: 29 Jan 1993
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
Type: PDF
ISBN: 9783540563877
Download Link: Norm Inequalities for Derivatives and Differences
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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.
Read online Norm Inequalities for Derivatives and Differences Buy and read online Norm Inequalities for Derivatives and Differences Download Norm Inequalities for Derivatives and Differences ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Norm Inequalities for Derivatives and Differences
Norm Inequalities for Derivatives and Differences. Man Kam Kwong
Author: Man Kam Kwong
Number of Pages: 152 pages
Published Date: 29 Jan 1993
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
Type: PDF
ISBN: 9783540563877
Download Link: Norm Inequalities for Derivatives and Differences
---------------------------------------------------------------
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.
Read online Norm Inequalities for Derivatives and Differences Buy and read online Norm Inequalities for Derivatives and Differences Download Norm Inequalities for Derivatives and Differences ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Norm Inequalities for Derivatives and Differences