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A note on a class of Hardy-Rellich type inequalities

✍ Scribed by Yanmei Di, Liya Jiang, Shoufeng Shen…

Book ID: 120732843
Publisher: Hindawi Publishing Corporation
Year: 2013
Tongue: English
Weight: 138 KB
Volume: 2013
Category: Article
ISSN: 1025-5834
DOI: 10.1186/1029-242X-2013-84

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In this note, it is shown that the Hardy᎐Hilbert inequality for double series can Ž . be improved by introducing a proper weight function of the form rsin rp y Ž . 1y1rr Ž Ž . . O n rn with O n ) 0 into either of the two single summations. When r r r s 2, the classical Hilbert inequality is improved