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On an Extension of Hardy-Hilbert'sInequality

Bicheng Yang
경북대학교 자연과학대학 수학과|2006.09|Kyungpook Mathematical Journal|제46권 제3호|pp. 425-431

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Abstract

In this paper, by introducing three parameters A, B and ¸, 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.

참고문헌 (5)

  1. "On a best value of Hardy-Hilbert’s inequality", 26, pp.159~164 (1997)
  2. "On the extended Hilbert’s inequality", 126, pp.751~759 (1998)
  3. "On the extended Hardy-Hilbert’s inequality", 272, pp.187~199 (2002)
  4. "An Introduction to Special Functions" (1979), Science Press
  5. "On a generalization of Hilbert’s double series", 5, pp.197~204 (2002)

관련 논문AI추천

An analogue of Hilbert's inequality and its extensions김병일, 김영호대한수학회 · 대한수학회보2002 · 제39권 제3호Some New Hilbert Type InequalitiesShaban Raslan Salem경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호Generalization of Hardy-Hilbert's Inequality and ApplicationsAziz Saglam, Huseyin Yildirim, Mehmet Zeki Sarikaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호On a Reverse Hardy-Hilbert's InequalityBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호A NEW EXTENSION ON THE HARDY-HILBERT INEQUALITYMingzhe Gao, Yu Zhou대한수학회 · 대한수학회논문집2012 · 제27권 제3호On the Hilbert Type Integral Inequalities with Some Param- eters and Its ReverseHuseyin Yildirim, Mehmet Zeki Sarikaya, Umut Mutlu Ozkan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호

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