On Generalisations of Hilbert's Inequality

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

Abstract

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
URI https://vuir.vu.edu.au/id/eprint/17826
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Hilbert’s inequality, weight coefficient, Hölder’s inequality
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