✦ LIBER ✦

NOTE A Note on the Hardy–Hilbert Inequality

✍ Scribed by Gao Mingzhe

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 96 KB
Volume: 204
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0441

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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