Elementary Convolution Inequalities

Elementary Convolution Inequalities

We formulate inequalities of the kind discussed in Chapter IX of Hardy, Littlewood and Polya's Inequalities [5] in the language of integration on a locally compact Abelian group. We illustrate the effectiveness of this approach by deriving a number of superficially disparate inequalities, some...

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Veröffentlicht in:SIAM journal on mathematical analysis 1975-05, Vol.6 (3), p.457-471
Hauptverfasser: Boas, Jr, R. P., Imoru, C. O.
Format: Artikel
Sprache:eng
Schlagworte:
Hypotheses
Inequality
Mathematical functions
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Zusammenfassung:We formulate inequalities of the kind discussed in Chapter IX of Hardy, Littlewood and Polya's Inequalities [5] in the language of integration on a locally compact Abelian group. We illustrate the effectiveness of this approach by deriving a number of superficially disparate inequalities, some of which appear to be new.
ISSN:0036-1410
1095-7154
DOI:10.1137/0506040