논문KCI 등재
On a Bilateral Hilbert-Type Inequality with a Homogeneous Kernel of 0-Degree
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참고문헌
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초록
By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.
Abstract
By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.
참고문헌 (10)
- G. H. Hardy, "Inequalities" (1934), Cambridge University Press
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- J. Kuang, "On new extensions of Hilbert's integral inequality", Math. Anal. Appl., 235, pp.608~614 (1999)
- B. G. Pachpatte, "Inequalities similar to the integral analogue of Hilbert's inequality", Tamkang J. Math., 30, pp.139~146 (1999)
- B. Yang, "The Norm of Operator and Hilbert-type Inequalities" (2009), Science Press
- B. Yang, "On a relation between Hilberts inequality and a Hilbert-type inequality", Applied Mathematics Letters, 21(5), pp.483~488 (2008)
- W. Zhong, "A reverse form of multiple Hardy-Hilbert's integral inequality", International Journal of Mathematical Inequalities and Applications, 1(1), pp.67~72 (2007)
- C. Zhao, "Some new inverse type Hilbert integral inequalities", Journal of Mathematical Analysis and Applications, 262(1), pp.411~418 (2001)
- J. Kuang, "Applied Inequalities" (2004), Shangdong Science Press
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 제2호Hilbert-Type Integral Inequalities in the Whole Plane with the Non-homogeneous KernelDongmei Xin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호A 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 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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