논문KCI 등재
A New Hilbert-type Inequality with the Integral in Whole Plane
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In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.
Abstract
In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.
참고문헌 (18)
- Hardy G. H., "Inequalities" (1952), Cambridge University Press
- Zitian Xie, "A Hilbert-type integral inequality whose kernel is a ho- mogeneous form of degree -3", J. Math. Appl., 339, pp.324~331 (2008)
- Bicheng Yang, "On the the norm of an intergal operator and applications", J. Math. Anal. Appl., 321, pp.182~192 (2006)
- Zitian Xie, "A Hilbert-type integral inequality with a non-homogeneous form and a best constant factor", Advances and applications in mathmatical sciences, 3(1), pp.61~71 (2010)
- Xie Zitian, "A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree", Journal of Jishou University(Natturnal Science Edition), 32(4), pp.26~30 (2011)
- Bicheng Yang, "A Hilbert-type with a mixed kemel and extensions", Journal of Sichuan Normal University(Natural Science), 31(3), pp.281~284 (2008)
- Zheng Zeng, "A new Hilbert-type integral inequality with a best constant factor", Journal of South China Normal University (Natural Science Edition), 3, pp.31~33 (2010)
- Zheng Zeng, "On a new Hilbert-type integral inequality with the the integral in whole plane", Journal of Inequalities and Applicationsvol (2010)[DOI]
- Zitian Xie, "A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree", Journal of Jilin University(Science Edition), 48(6), pp.941~945 (2010)
- Zitian Xie, "A new Hilbert-type integral inequality with the best constant factor", J. Wuhan Univ. (Nat. Sci. Ed), 55(6), pp.637~640 (2009)
- Dongmei Xin, "On a New Hilbert-type Integral Inequality", Kyungpook Mathematical Journal, 49(2), pp.393~401 (2009), 경북대학교 자연과학대학 수학과
- Zitian Xie, "A new Hilbert-type integral inequality and its reverse", Journal of Henan University (Science Edition), 39(1), pp.10~13 (2009)
- Zheng Zeng, "A new Hilbert-type integral inequality with a best constant factor", Journal of South China Normal University (Natural Science Edition), 3, pp.31~33 (2010)
- 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
- Xie Zitian, "A new Hilberttype integral inequality with the homogeneous kernel of degree 0", Journal of Southwest University (Natturnal Science Edition), 23(8), pp.137~141 (2011)
- Xie Zitian, "A Hilbert-type integral inequality with the homogeneous ker- nel of real number-degree and its equivalent", Journal of Zhejiang University (Science Edition)
- Bicheng Yang, "On a Relation to Hilbert’s Integral Inequality and a Hilbert- Type Inequality", Kyungpook Mathematical Journal, 49(3), pp.563~572 (2009), 경북대학교 자연과학대학 수학과
- Zitian Xie, "The Hilbert-type Integral Inequality with the System Kernel of -λ Degree Homogeneous Form", Kyungpook Mathematical Journal, 50(2), pp.297~306 (2010), 경북대학교 자연과학대학 수학과
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 제3호A New Hilbert-type Integral Inequality with Some Parametersand Its ReverseBicheng Yang, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호Hilbert-Type Integral Inequalities in the Whole Plane with the Non-homogeneous KernelDongmei Xin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호A NEW EXTENSION ON THE HARDY-HILBERT INEQUALITYMingzhe Gao, Yu Zhou대한수학회 · 대한수학회논문집2012 · 제27권 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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