Norm Inequalities for Derivatives and Differences (Paperback, 1992 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1536
Release date:	1993
First published:	1992
Authors:	Man K. Kwong • Anton Zettl
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	152
Edition:	1992 ed.
ISBN-13:	978-3-540-56387-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-540-56387-3
Barcode:	9783540563877

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