A Hilbert-type Integral Inequality With the Integral in Whole Plane and the Kernel of -4 Degree Homogeneous Form

Xie Zitian*, Zheng Zeng**
* Department of Mathematics, Zhaoqing University, Zhaoqing, Guangdong China.
** Department of Mathematics, Shaoguan University, Shaoguan, Guangdong, China.
Periodicity:July - September'2012
DOI : https://doi.org/10.26634/jmat.1.3.1941

Abstract

In this paper, by estimating the weight function, we give a new Hilbert-type integral inequality with some parameters and a best constant factor. As its applications, we consider the equivalent and a particular result.

Keywords

Hilbert-type Integral inequality; weight function; H lder's Inequality; Equivalent Form; Whole Planethe Kernel of -4 Degree Homogeneous Form

How to Cite this Article?

Xie, Z., and Zeng, Z. (2012). A Hilbert-Type Integral Inequality with the Integral in Whole Plane and The Kernel Of -4 Degree Homogeneous Form. i-manager’s Journal on Mathematics, 1(3), 6-12. https://doi.org/10.26634/jmat.1.3.1941

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