A discrete Hilbert-type inequality in the whole plane

Journal of inequalities and applications

Dongmei Xin¹ 

关键词: Hilbert-type inequality;    weight coefficient;    equivalent form;    operator expression;    26D15;    47A05;   

DOI  :  10.1186/s13660-016-1075-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given. The equivalent forms, the operator expressions, and a few particular inequalities are considered.

【 授权许可】

CC BY