Half-discrete Hilbert-type inequalities involving differential operators

Journal of inequalities and applications

Vandanjav Adiyasuren¹ 

关键词: Hilbert inequality;    Hardy inequality;    half-discrete inequality;    differential operator;    homogeneous function;   

DOI  :  10.1186/1029-242X-2014-83

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved for the case of non-conjugate parameters. After reduction to the conjugate case, we show that the constants appearing on the right-hand sides of these inequalities are the best possible. MSC:26D10, 26D15, 33B15.

【 授权许可】

CC BY