A multidimensional Hilbert-type integral inequality

Journal of inequalities and applications

Zhenxiao Huang¹ 

关键词: Hilbert-type integral inequality;    weight function;    equivalent form;    Hilbert-type integral operator;    gamma function;    26D15;    47A07;    37A10;   

DOI  :  10.1186/s13660-015-0673-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By applying the method of weight functions and the technique of real analysis, a multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is given. The equivalent forms and the reverses are obtained. We also consider the operator expressions and a few particular results related to the kernels of non-homogeneous and homogeneous.

【 授权许可】

CC BY