논문KCI 등재
On a New Hilbert-type Integral Inequality
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초록
By introducing a parameter and estimating the weight coefficient, we obtain a new Hilbert-type integral inequality with a composite kernel and a best constant factor. As applications,we also consider its equivalent forms and reverse forms.
Abstract
By introducing a parameter and estimating the weight coefficient, we obtain a new Hilbert-type integral inequality with a composite kernel and a best constant factor. As applications,we also consider its equivalent forms and reverse forms.
참고문헌 (6)
- G. H. Hardy, "Inequalities" (1952), Cambridge University Press
- Bicheng Yang, "On a generalization of the Hilbert’s type inequality and its applications", Chinese Journal of Engineering Mathematics, 21(4), pp.821~824 (2004)
- Bicheng Yang, "A new Hilbert-type inequality with a parameter", Journal of Henan University (Natural Science), 35(4), pp.4~8 (2005)
- Bicheng Yang, "On the norm of an integral operator and applications", J. Math. Anal. Appl, 321, pp.182~192 (2006)
- ZhuxiWang, "Dunrin Guo, An introduction to special functions" (1979), Science Press
- Jichang Kuang, "Applied inequalities" (2004), Shangdong Science and Technology, Press
관련 논문AI추천
A New Hilbert-type Integral Inequality with Some Parametersand Its ReverseBicheng Yang, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호On 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 제3호On Certain Extension of Hilbert’s Integral Inequality with Best ConstantsBing He, Yongjin Li, Yu Lin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호On a Hilbert-type Integral Inequality with a Combination Kernel and ApplicationsBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제2호A New Hilbert-type Inequality with the Integral in Whole PlaneZheng Zeng, Zitian Xie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제3호
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