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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bicheng Yang & Shanhe Wu & Aizhen Wang, 2019. "On a Reverse Half-Discrete Hardy-Hilbert’s Inequality with Parameters," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1054-:d:283426
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    References listed on IDEAS

    as
    1. Michael Th. Rassias & Bicheng Yang, 2018. "On a Hilbert-Type Integral Inequality in the Whole Plane," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Applications of Nonlinear Analysis, pages 665-679, Springer.
    Full references (including those not matched with items on IDEAS)

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