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An Extension of Hardy–Hilbert’s Inequality

In: Functional Equations in Mathematical Analysis

Author

Listed:
  • Bicheng Yang

    (Guangdong Education Institute)

Abstract

By using the way of weight coefficient and the improved Euler-Maclaurin’s summation formula, a new extension of Hardy–Hilbert’s inequality with multi-parameter and a best constant factor is obtained, and the equivalent form is considered.

Suggested Citation

  • Bicheng Yang, 2011. "An Extension of Hardy–Hilbert’s Inequality," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 727-738, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0055-4_46
    DOI: 10.1007/978-1-4614-0055-4_46
    as

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