A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function

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作者
Aizhen Wang
Bicheng Yang
机构
[1] Guangdong University of Education,Department of Mathematics
关键词
Hardy-Hilbert-type inequality; weight function; equivalent form; reverse; operator; 26D15; 47A07;
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摘要
By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions, the reverses and some particular cases are also considered.
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