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 of Landau, 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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Bahasa Inggris ● Format PDF ● ISBN 9783540475484 ● Penerbit Springer Berlin Heidelberg ● Diterbitkan 2006 ● Diunduh 3 kali ● Mata uang EUR ● ID 6319180 ● Perlindungan salinan Adobe DRM
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