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On a Hilbert-Type Integral Inequality

In: Functional Equations in Mathematical Analysis

Author

Listed:
  • Bicheng Yang

    (Guangdong Education Institute)

Abstract

By introducing some parameters and using the way of weight function, a new Hilbert-type integral inequality with a combination kernel is given, which is a best extension of Hilbert’s integral inequality. As applications, the equivalent form is considered.

Suggested Citation

  • Bicheng Yang, 2011. "On a Hilbert-Type Integral Inequality," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 719-725, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0055-4_45
    DOI: 10.1007/978-1-4614-0055-4_45
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    Cited by:

    1. Lokenath Debnath & Bicheng Yang, 2012. "Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-29, October.

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