Volume 7, Number 3, 2017, Pages 977-991 DOI:10.11948/2017061 |
A new half-discrete Hilbert-type inequality in the whole plane |
Bicheng Yang,Bing He |
Keywords:Half-discrete Hilbert-type inequalitym, Hermite-Hadamard''s inequality, weight function, equivalent form, gamma function. |
Abstract: |
By the use of Hermite-Hadamard''s inequality and weight functions, a new half-discrete Hilbert-type inequality in the whole plane with multi-parameters is given. The constant factor related to the gamma function is proved to be the best possible. The equivalent forms, two kinds of particular inequalities, and the operator expressions are considered. |
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