On a Reverse Half-Discrete Hardy-Hilbert’s Inequality with Parameters

Bicheng Yang, Shanhe Wu and Aizhen Wang
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Bicheng Yang: Institute of Applied Mathematics, Longyan University, Longyan 364012, China
Shanhe Wu: Department of Mathematics, Longyan University, Longyan 364012, China
Aizhen Wang: Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: By means of the weight functions, the idea of introduced parameters, and the Euler-Maclaurin summation formula, a reverse half-discrete Hardy-Hilbert’s inequality and the reverse equivalent forms are given. The equivalent statements of the best possible constant factor involving several parameters are considered. As applications, two results related to the case of the non-homogeneous kernel and some particular cases are obtained.

Keywords: weight function; half-discrete Hardy-Hilbert’s inequality; parameter; Euler-Maclaurin summation formula; reverse inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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