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On the Hilbert Type Integral Inequalities with Some Param- eters and Its Reverse
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This paper deals with some new generalizations of the Hardy-Hilbert type integral inequalities with some parameters. We also consider the equivalent inequalities and the reverse forms.
Abstract
This paper deals with some new generalizations of the Hardy-Hilbert type integral inequalities with some parameters. We also consider the equivalent inequalities and the reverse forms.
참고문헌 (8)
- G. H. Hardy, "Inequalities" (1952), Cambridge University Press
- G. H. Hardy, "Note on the theorem of Hilbert concerning series of positive terms", Proceeding London Math. Soc., Record of Proc, 23(2) (1925)
- D. S. Mintrinovic, "Inequalities involving functions and their integrals and derivatives" (1991), Kluwer Academic Publishers
- B. Yang, "On Hardy-Hilbert's integral inequality", J. Math. Anal. Appl, 261, pp.295~306 (2001)
- B. Yang, "On the extended Hilbert's integral inequality", J. Inequalities in Pure and Appl. Math, 5(4) (2004)
- B. Yang, "Generalization of Hilbert and Hardy- Hilbert integral inequalities", Math. Inequal. Appl, 8(2), pp.259~272 (2005)
- J. Kang, "Applied inequalities" (2004), Shangdong Science and Technology Press
- Zitian Xie, "A New Hilbert-type Integral Inequality with Some Parametersand Its Reverse", Kyungpook Mathematical Journal, 48(1), pp.93~100 (2008), 경북대학교 자연과학대학 수학과
관련 논문AI추천
A New Hilbert-type Integral Inequality with Some Parametersand Its ReverseBicheng Yang, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호On a Reverse Hardy-Hilbert's InequalityBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호Generalization of Hardy-Hilbert's Inequality and ApplicationsAziz Saglam, Huseyin Yildirim, Mehmet Zeki Sarikaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 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 제3호On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4- degreeBing He, Qiliang Huang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호
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