A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions

Bicheng Yang, Shanhe Wu and Qiang Chen
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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
Qiang Chen: Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China

Mathematics, 2020, vol. 8, issue 6, 1-14

Abstract: In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms. The obtained inequalities are then further discussed regarding the equivalent statements of the best possible constant factor related to several parameters. The operator expressions of the extended Hardy-Hilbert’s inequality are also considered.

Keywords: Hardy-Hilbert’s inequality; best possible constant factor; equivalent statement; operator expression (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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