On a Hilbert-type inequality with a homogeneous kernel in ℝ 2 and its equivalent form

Journal of inequalities and applications

Bing He¹ 

关键词: weight function;    Hölder's inequality;    equivalent form;   

DOI  :  10.1186/1029-242X-2012-94

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By using the way of weight functions and the technique of real analysis, a new integral inequality with a homogeneous kernel and the best constant factor in ℝ2 is given. The equivalent form and the reverses are considered. Mathematics Subject Classification (2000): 26D15.

【 授权许可】

CC BY