논문KCI 등재
A New Hilbert-type Integral Inequality with Some Parametersand Its Reverse
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초록
In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.
Abstract
In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.
참고문헌 (7)
- G. H. Hardy, "Inequalities" (1952), Cambridge University Press, Cambridge
- G. H. Hardy, "Note on a theorem of Hilbert concerning series of positive terms, Proceedings London Math", Soc. Records of Proc. XLV-XLIV, 23(2) (1925)
- D. S. Mintrinovic, "Inequalities involving functions and their integrals and Derivertives" (1991), Kluwer Academic Publishers, Boston
- Bicheng Yang, "On Hardy-Hilbert's integral inequality", J. Math. Anal. Appl, 261, pp.295~306 (2001)
- Bicheng Yang, "On the extended Hilbert's integral inequality", Journal of Inequalities in Pure and Applied Mathmatics, 5(4), pp.96~ (2004)
- Bicheng Yang, "Generalization of Hilbert and Hardy-Hilbert integral inequalities", Mathematical Inequalities and Applications, 8(2), pp.259~272 (2005)
- Jichang Kang, "Applied Inequalities" (2004), Shangdong Science and Technology Press, Jinan
관련 논문AI추천
On 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 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 제4호On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4- degreeBing He, Qiliang Huang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호On a Reverse Hardy-Hilbert's InequalityBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호On Certain Extension of Hilbert’s Integral Inequality with Best ConstantsBing He, Yongjin Li, Yu Lin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호
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