| Volume 9, Number 6, 2019, Pages 2124-2136 DOI：10.11948/20180160 |
| On an extended Hardy-Hilbert‘s inequality in the whole plane |
| Bicheng Yang,Meifa Huang,Yanru Zhong |
| Keywords:Hardy-Hilbert‘s inequality, Hermite-Hadamard’s inequality, weight coefficient, equivalent form, operator expression. |
| Abstract: |
| By means of weight coefficients, a complex integral formula and Hermite-Hadamard’s inequality, a new extended Hardy-Hilbert‘s inequality in the whole plane with multi-parameters and a best possible constant factor is given. The equivalent forms, the operator expressions and a few particular cases are considered. |
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