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Volume 1, Issue 2, Article 22 |
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On a strengthened Hardy-Hilbert inequality
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Authors: |
Bicheng Yang, |
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Keywords:
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Hardy-Hilbert inequality, weight coefficient, Hölder's inequality |
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Date Received:
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08/05/00 |
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Date Accepted:
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10/06/00 |
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Subject Codes: |
26D15
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Editors: |
Lokenath Debnath, |
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Abstract: |
In this paper, a new inequality for the weight coefficient of the form ![egin{eqnarray*}Wleft( n,right) &=&sum_{m=0}^{infty }frac{1}{m+n+1}left... ...frac{1}{13left(n+1ight) left( 2n+1ight) ^{1-frac{1}{r}}} end{eqnarray*}](images/012_00_JIPAM/img2.gif) n for is proved. This is followed by a strengthened version of the more accurate Hardy-Hilbert inequality.
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