Norm Inequalities for Derivatives and Differences

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Januar 1993



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.


Unit weight functions.- The norms of y,y?,y?.- Weights.- The difference operator.
EAN: 9783540563877
ISBN: 3540563873
Untertitel: 1992. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: Januar 1993
Seitenanzahl: 160 Seiten
Format: kartoniert
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