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Field name	Details
Dewey Class	515.8
Title	Norm Inequalities for Derivatives and Differences ([EBook]) / by Man Kam Kwong, Anton Zettl.
Author	Kwong, Man Kam. , 1947-
Added Personal Name	Zettl, Anton
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1992.
Physical Details	VIII, 152 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1536
ISBN	9783540475484
Summary Note	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.:
Contents note	Unit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0090864
Links to Related Works	Subject References: Functions of real variables . Inequalities (Mathematics) . Mathematics . Real Functions . Authors: author . Kwong, Man Kam. 1947- . Zettl, Anton . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.8 .

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Norm Inequalities for Derivatives and Differences

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