On Generalisations of the Hardy-Hilbert Integral Inequality

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Yang, Bicheng (2001) On Generalisations of the Hardy-Hilbert Integral Inequality. RGMIA research report collection, 4 (4).


In this paper, by introducing some parameters, we give a new generalisation of the Hardy-Hilbert inequality with a best constant factor which involves the β−function. We also consider its more extended form.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17656
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 Hardy-Hilbert’s integral inequality, weight function, β−function
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