Man K. Kwong, Anton Zettl

Norm Inequalities for Derivatives and Differences

• Broschiertes Buch

Produktbeschreibung

Norm inequalities relating (i) a function and two of itsderivatives and (ii) a sequence and two of its differencesare studied. Detailed elementary proofs of basicinequalities are given. These are accessible to anyone witha background of advanced calculus and a rudimentaryknowledge of the Lp and lp spaces.The classical inequalities associated with the names ofLandau, Hadamard, Hardy and Littlewood, Kolmogorov,Schoenberg and Caravetta, etc., are discussed, as well astheir discrete analogues and weighted versions. Bestconstants and the existence and nature of extremals arestudied and many open questions raised. An extensive list ofreferences is provided, including some of the vast Sovietliterature on this subject.

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Produktdetails

• Lecture Notes in Mathematics 1536
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-56387-7
• 1993.
• Seitenzahl: 160
• Erscheinungstermin: 29. Januar 1993
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 252g
• ISBN-13: 9783540563877
• ISBN-10: 3540563873
• Artikelnr.: 23883166

Inhaltsangabe

Unit weight functions.- The norms of y,y?,y?.- Weights.- The difference operator.