| Volume 8, Number 2, 2018, Pages 558-572 DOI：10.11948/2018.558 |
| A more accurate multidimensional Hardy-Hilbert''s inequality |
| Bicheng Yang |
| Keywords:Hardy-Hilbert''s inequality, weight coefficient, Hermite-Hadamard''s inequality, equivalent form, operator. |
| Abstract: |
| In this paper, by the use of the weight coefficients, the transfer formula, Hermite-Hadamard''s inequality and the technique of real analysis, a more accurate multidimensional Hardy-Hilbert''s inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published results. Moreover, the equivalent forms and the operator expressions are considered. |
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