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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