On a half-discrete inequality with a generalized homogeneous kernel

Journal of inequalities and applications

Bing He¹ 

关键词: Hilbert's inequality;    weight function;    Hölder's inequality;   

DOI  :  10.1186/1029-242X-2012-30

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques, a half-discrete inequality with a best constant factor is established. In addition, the operator expressions, equivalent forms, reverse inequalities and some particular cases are given. Mathematics Subject Classification (2000): 26D15.

【 授权许可】

CC BY