Norm Inequalities for Derivatives and Differences / Lecture Notes in Mathematics Bd.1536 (PDF)
(Sprache: Englisch)
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...
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...
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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.
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.
Bibliographische Angaben
- Autoren: Man K. Kwong , Anton Zettl
- 2006, 1992, 152 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540475486
- ISBN-13: 9783540475484
- Erscheinungsdatum: 15.11.2006
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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Sprache:
Englisch
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