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Article

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

1
Institute of Applied Mathematics, Longyan University, Longyan 364012, China
2
Department of Mathematics, Longyan University, Longyan 364012, China
3
Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(6), 894; https://doi.org/10.3390/math8060894
Received: 8 May 2020 / Revised: 24 May 2020 / Accepted: 26 May 2020 / Published: 2 June 2020
(This article belongs to the Special Issue Applications of Inequalities and Functional Analysis)
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. View Full-Text
Keywords: Hardy-Hilbert’s inequality; best possible constant factor; equivalent statement; operator expression Hardy-Hilbert’s inequality; best possible constant factor; equivalent statement; operator expression
MDPI and ACS Style

Yang, B.; Wu, S.; Chen, Q. A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions. Mathematics 2020, 8, 894. https://doi.org/10.3390/math8060894

AMA Style

Yang B, Wu S, Chen Q. A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions. Mathematics. 2020; 8(6):894. https://doi.org/10.3390/math8060894

Chicago/Turabian Style

Yang, Bicheng, Shanhe Wu, and Qiang Chen. 2020. "A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions" Mathematics 8, no. 6: 894. https://doi.org/10.3390/math8060894

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