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On Generalisations of Hilbert's Inequality

Yang, Bicheng (2003) On Generalisations of Hilbert's Inequality. RGMIA research report collection, 6 (2).

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In this paper, by introducing three parameters A, B and λ, and estimating the weight coefficient, we give a new generalization of Hilbert’s inequality with a best constant factor. As applications, we consider its equivalent form and some particular results.

Item Type: Article
Uncontrolled Keywords: Hilbert’s inequality, weight coefficient, Hölder’s inequality
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 01:28
Last Modified: 23 May 2013 16:52
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