A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE

Bicheng Yang; Bing He

doi:10.11948/2017061

2017 Volume 7 Issue 3

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Bicheng Yang, Bing He. A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 977-991. doi: 10.11948/2017061

Citation:

Bicheng Yang, Bing He. A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 977-991. doi: 10.11948/2017061

A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE

Department of Mathematics, Guangdong University of Education, Xingang Zhonglu 351, 510303, Guangzhou, China

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Abstract

Abstract

By the use of Hermite-Hadamard's inequality and weight functions, a new half-discrete Hilbert-type inequality in the whole plane with multiparameters 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.
- Half-discrete Hilbert-type inequality /
- Hermite-Hadamard's inequality /
- weight function /
- equivalent form /
- gamma function
MSC: 26D15;47A05

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References

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