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Author Kwong, Man Kam, 1947-
Title Norm inequalities for derivatives and differences [electronic resource] / Man Kam Kwong, Anton Zettl
Imprint Berlin ; New York : Springer-Verlag, c1992
book jacket
Descript 1 online resource (vi, 150 p.) : ill
Series Lecture notes in mathematics, 0075-8434 ; 1536
Lecture notes in mathematics (Springer-Verlag) ; 1536
Note Includes bibliographical references (p. 144-148) and index
Description based on print version record
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
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Link Print version: Kwong, Man Kam, 1947- Norm inequalities for derivatives and differences. Berlin ; New York : Springer-Verlag, c1992 0387563873 (DLC) 92042110 (OCoLC)27071511
Subject Inequalities (Mathematics)
Difference equations
opérateur différentiel
inégalité Landau
norme
fonction poids
équation aux différences
inégalité
fonction réelle
Inégalités (Mathématiques)
Équations aux différences
Differentierekening. gtt
Ongelijkheden. gtt
Variables (mathématiques) ram
Équations différentielles. ram
Differenzenoperator. swd
Ableitung <Infinitesimalrechnung> swd
Norm <Mathematik> swd
Ungleichung. swd
Difference equations. fast (OCoLC)fst00893419
Inequalities (Mathematics) fast (OCoLC)fst00972020
Electronic books
Alt Author Zettl, Anton
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