본문 바로가기
KERD
논문KCI 등재

Generalization of Hardy-Hilbert's Inequality and Applications

Mehmet Zeki Sarikaya|Aziz Saglam|Huseyin Yildirim
경북대학교 자연과학대학 수학과|2010.03|Kyungpook Mathematical Journal|제50권 제1호|pp. 131-152

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Holder's inequalityHardy-Hilbert-type integral inequality
주제분류수학

초록

In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application,the reverses, some particular results and their equivalent forms are considered.

Abstract

In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application,the reverses, some particular results and their equivalent forms are considered.

참고문헌 (10)

  1. L. E. Azar, "On Some Extensions of Hardy-Hilbert's Inequality and Applications", Journal of Inequalities and Applications (2008)
  2. G. H. Hardy, "Inequalities, 2nd edition" (1952), Cambridge University Press
  3. G. H. Hardy, "Note on a theorem of Hilbert concerning series of positive terms", Proceedings of the London Mathematical Society, 23(2), pp.45~46 (1925)
  4. Y. Li, "Hilbert's type linear operator and some extensions of Hilbert's inequality", Journal of Inequalities and Applications (2007)
  5. D. S Mitrinovic, "Inequalities Involving Functions and Their Integrals and Derivatives", Mathematics and Its Applications, 53 (1991)
  6. B. Yang, "On an extension of Hilbert's integral inequality with some parameters", The Australian Journal of Mathematical Analysis and Applications, 1(1), pp.1~8 (2004)
  7. B. Yang, "On the extended Hilbert's integral inequality", Journal of Inequalities in Pure Applied Mathematics, 5(4), pp.1~8 (2004)
  8. B. Yang, "Generalization of a Hilbert type inequality and its applications", Chinese Journal of Engineering Mathematics, 21(5), pp.821~824 (2004)
  9. B. Yang, "On a Hilbert-type operator with a synnetric homogeneous Kernel of 1-order and applications", Journal of Inequalities and Applications (2007)
  10. G. Xi, "A reverse Hardy-Hilbert-type inequality", Journal of Inequalities and Applications (2007)

관련 논문AI추천

On a Reverse Hardy-Hilbert's InequalityBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 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 제4호A NEW EXTENSION ON THE HARDY-HILBERT INEQUALITYMingzhe Gao, Yu Zhou대한수학회 · 대한수학회논문집2012 · 제27권 제3호A New Hilbert-type Integral Inequality with Some Parametersand Its ReverseBicheng Yang, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호On a New Hilbert-type Integral InequalityDongmei Xin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호On a Relation to Hilbert’s Integral Inequality and a Hilbert- Type InequalityBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호

이 간행물의 다른 논문 (15건)

The Factor Domains that Result from Uppers to Prime Ideals in Polynomial RingsDavid Earl Dobbspp. 1-5New Sixth-Order Improvements of the Jarratt Method김용일pp. 7-14Spectral Analysis of Four Term Differential OperatorNyamwala Fredrick Oluochpp. 15-35The Fekete-Szeg"o Problem for A Generalized Subclass of An-alytic FunctionsHalit Orhan, Erhan Denizpp. 37-47The Leading Finite Type Coefficients of the Links–Gould Polynomial of a LinkAtsushi Ishiipp. 49-58
원문 보기