Kyungpook Mathematical Journal

  • 제50권2호
  • /
  • Pages.281-288
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  • 2010
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On a Hilbert-Type Integral Inequality with a Combination Kernel and Applications

  • Yang, Bicheng (Department of Mathematics, Guangdong Education Institute)
  • 투고 : 2009.07.07
  • 심사 : 2009.08.21
  • 발행 : 2010.06.30
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초록

By introducing some parameters and using the way of weight function and the technic of real analysis and complex analysis, a new Hilbert-type integral inequality with a best constant factor and a combination kernel involving two mean values is given, which is an extension of Hilbert's integral inequality. As applications, the equivalent form and the reverse forms are considered.

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참고문헌

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