A New Hilbert-type Integral Inequality with the Homogeneous Kernel of 1/2 Degree Form and the Integral in Whole Plane

Xie Zitian*, Zheng Zeng**
* Department of Math. Zhaoqing University, Zhaoqing, Guangdong, P. R. China.
** Shaoguan University, Shaoguan, Guangdong, China.
Periodicity:January - March'2012
DOI : https://doi.org/10.26634/jmat.1.1.1664

Abstract

In this paper, the authors build a new Hilbert's inequality with the homogeneous kernel of 1/2 order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using Complex Analysis.

Keywords

Half-discrete, Hilbert-type integral inequality; H lder's inequality

How to Cite this Article?

Zitian, X., and Zheng, Z. (2012). A New Hilbert-Type Integral Inequality with The Homogeneous Kernel of ½ Degree Form and The Integral in Whole Plane. i-manager’s Journal on Mathematics, 1(1), 12-17. https://doi.org/10.26634/jmat.1.1.1664

References

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