논문KCI 등재
Hilbert-Type Integral Inequalities in the Whole Plane with the Non-homogeneous Kernel
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참고문헌
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초록
We build new Hilbert-typeintegral inequalities in the whole plane with the non-homogeneouskernel involving some parameters and the best constant factors. We also consider their reverse.
Abstract
We build new Hilbert-type integral inequalities in the whole plane with the non-homogeneous kernel involving some parameters and the best constant factors. We also consider their reverse.
참고문헌 (14)
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- J. Xu, "Hardy-Hilbert's inequalities with two parameters", Advances in Mathematics, 36(2), pp.63~76 (2007)
- D. Xin, "A Hilbert-type integral inequality with the homogeneous kernel of zero degree", Mathematical Theory and Applications, 30(2), pp.70~74 (2010)
- B. Yang, "On the norm of an integral operator and applications", J. Math. Anal. Appl., 321, pp.182~192 (2006)
- B. Yang, "A new Hilbert-type inequality", Bull. Belg. Math. Soc, 13, pp.479~487 (2006)
- B. Yang, "On the norm of a Hilbert's type linear operator and applications", J. Math. Anal. Appl., 325, pp.529~541 (2007)
- B. Yang, "A survey of the study of Hilbert-type inequalities with parameters", Advances in Mathematics, 38(3), pp.257~268 (2009)
- B. Yang, "The norm of operator and Hilbert-type inequalities" (2009), Science Press
- B. Yang, "A Hilbert-type integral inequality with the homogenous kernel of degree 0", Journal of Shandong University (Natural Science), 45(2), pp.103~106 (2010)
- Z. Zeng, "On a new Hilbert-type integral inequality with the homogeneous kernel of degree 0 and the integral in whole plane", Journal of Inequalities and Applications, pp.9~ (2010)
관련 논문AI추천
On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4- degreeBing He, Qiliang Huang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호On a New Hilbert-type Integral InequalityDongmei Xin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호On Certain Extension of Hilbert’s Integral Inequality with Best ConstantsBing He, Yongjin Li, Yu Lin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호A New Hilbert-type Integral Inequality with Some Parametersand Its ReverseBicheng Yang, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호A New Hilbert-type Inequality with the Integral in Whole PlaneZheng Zeng, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 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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