Kyungpook Mathematical Journal

  • 제46권3호
  • /
  • Pages.425-431
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  • 2006
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  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

On an Extension of Hardy-Hilbert's Inequality

  • Yang, Bicheng (Department of Mathematics, Guangdong Institute of Education)
  • 투고 : 2005.04.04
  • 발행 : 2006.09.23
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초록

In this paper, by introducing three parameters A, B and ${\lambda}$, and estimating the weight coefficient, we give a new extension of Hardy-Hilbert's inequality with a best constant factor, involving the Beta function. As applications, we consider its equivalent inequality.

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참고문헌

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  7. B. Yang, On a generalization of Hilbert's double series, Math. Ineq. Appl., 5(2002), 197-204.