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A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality

In: Functional Equations in Mathematical Analysis

Author

Listed:
  • Bicheng Yang

    (Guangdong Education Institute)

  • Themistocles M. Rassias

    (National Technical University of Athens)

Abstract

By using the way of weight function, a new integral inequality with certain parameters and a best constant factor is proved which provides a relation of Hilbert’s integral inequality and a basic Hilbert-type integral inequality. Both the equivalent form as well as the reverse form are considered.

Suggested Citation

  • Bicheng Yang & Themistocles M. Rassias, 2011. "A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 739-748, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0055-4_47
    DOI: 10.1007/978-1-4614-0055-4_47
    as

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