On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function

被引：0
|
作者：
Jianquan Liao
Bicheng Yang
机构：
[1] Guangdong University of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
Hardy-Hilbert-type inequality; weight function; equivalent form; reverse; operator; 26D15;
D O I：
暂无
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学科分类号：
摘要：
By applying the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma function is given. The more accurate equivalent forms, the operator expressions with the norm, the reverses, and some particular cases are considered.
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