Kyungpook Mathematical Journal

  • 제50권2호
  • /
  • Pages.297-306
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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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The Hilbert-Type Integral Inequality with the System Kernel of-λ Degree Homogeneous Form

  • 투고 : 2009.09.07
  • 심사 : 2010.01.28
  • 발행 : 2010.06.30
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초록

In this paper, the integral operator is used. We give a new Hilbert-type integral inequality, whose kernel is the homogeneous form with degree - $\lambda$ and with three pairs of conjugate exponents and the best constant factor and its reverse form are also derived. It is shown that the results of this paper represent an extension as well as some improvements of the earlier results.

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참고문헌

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피인용 문헌

  1. A New Hilbert-type Inequality with the Integral in Whole Plane vol.52, pp.3, 2012, https://doi.org/10.5666/KMJ.2012.52.3.291
  2. vol.02, pp.01, 2012, https://doi.org/10.12677/pm.2012.21003
  3. A Hilbert-Type Inequality with Some Parameters and the Integral in Whole Plane vol.01, pp.03, 2011, https://doi.org/10.4236/apm.2011.13019