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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bicheng Yang & Shanhe Wu & Qiang Chen, 2020. "A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:894-:d:366184
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    Cited by:

    1. Bicheng Yang & Shanhe Wu & Xingshou Huang, 2022. "A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum," Mathematics, MDPI, vol. 10(13), pages 1-13, July.

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