NOTE A Note on the HardyβHilbert Inequal
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Gao Mingzhe
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Article
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1996
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Elsevier Science
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English
β 96 KB
In this note, it is shown that the HardyαHilbert inequality for double series can Ε½ . be improved by introducing a proper weight function of the form rsin rp y Ε½ . 1y1rr Ε½ Ε½ . . 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