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Volume 7, Issue 1, Article 30 |
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An Extended Hardy-Hilbert Inequality and Its Applications
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Authors: |
Weijian Jia, Mingzhe Gao, |
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Keywords:
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Power-exponent function, Weight function, Hardy-Hilbert's integral inequality, Hardy-Littlewood's integral inequality. |
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Date Received:
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17/02/04 |
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Date Accepted:
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10/11/05 |
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Subject Codes: |
26D15.
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Editors: |
Lubos Pick, |
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Abstract: |
In this paper, it is shown that an extended Hardy-Hilbert's integral inequality with weights can be established by introducing a power-exponent function of the form  , and the coefficient  is shown to be the best possible constant in the inequality. In particular, for the case  , some extensions on the classical Hilbert's integral inequality are obtained. As applications, generalizations of Hardy-Littlewood's integral inequality are given.
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