A Hilbert type inequality

descriptionPublicationkeyboard_double_arrow_right Article 31 Dec 2000Publisher:Tamkang Journal of MathematicsJournal:Tamkang Journal of Mathematics, volume 31, pages 311-316 (issn: 0049-2930, eissn: 2073-9826,

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Authors: Handley, G. D.; Koliha, J. J.; Pečarić, J.;

doi: 10.5556/j.tkjm.31.2000.389

A Hilbert type inequality

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Abstract

In this paper we obtain a new inequality of Hilbert type for a finite number of nonnegative sequences of real numbers from which we can recover as a special case an inequality due to Pachpatte. We also obtain an integral variant of the inequality.

Keywords

Hilbert type inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals

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