On a more accurate half-discrete Hilbert's inequality

Journal of inequalities and applications

Qiliang Huang¹ 

关键词: weight coefficient;    parameter;    equivalent form;    reverse;    Hilbert's inequality;    Hadamard's inequality;   

DOI  :  10.1186/1029-242X-2012-106

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By using the way of weight coefficients and the idea of introducing parameters and by means of Hadamard's inequality, we give a more accurate half-discrete Hilbert's inequality with a best constant factor. We also consider its best extension with parameters, the equivalent forms, the operator expressions as well as some reverses. 2000 Mathematics Subject Classification: 26D15; 47A07.

【 授权许可】

CC BY