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一个半离散的Hilbert型不等式及其等价式 被引量:1

A Half-Discrete Hilbert-Type Inequality and its Equivalent Forms
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摘要 引进一对共轭指数(p,q)及两个独立参数α与λ,给出了一个半离散的Hilbert型不等式及其等价式.并证明其常数因子为最佳值. By introducing a pair of conjugate exponent (p,q) and two independent parameters and a, a new half-discrete Hilbertrs inequality and its equivalent forms are considered in this paper. The constant factors in the inequalities are all the best possible.
作者 钟五一
出处 《广东第二师范学院学报》 2012年第5期8-12,共5页 Journal of Guangdong University of Education
基金 国家自然科学基金资助项目(10871073)
关键词 共轭指数 最佳常数 半离散的Hilbert型不等式 等价式 conjugate exponent best possible constant factor half-discrete Hilbert-type inequality equivalent form
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  • 1Hardy G H,Littlewood J E,Polya G. Inequalities[M].Cambridge:Cambridge University Press,1952.255-292.
  • 2Mintrinovice D S,Pecaric J E,Fink A M. Inequalities in-volving functions and their integrals and derivatives[M].Boston,MA:Kluwer Academic Publishers,1991.187-215.
  • 3Yang B C. On Hilbert' s integral inequality[J].Journal of Mathematical Analysis and Applications,1998.778-785.
  • 4杨必成.算子范数与Hilbert型不等式[M]北京:科学出版社,200930-52.
  • 5Yang B C. Hilbert-type integral inequalities[M].Dubai:Bentham Science Publishers Ltd,2009.14-63.
  • 6Yang B C. Discrete Hilbert-type inequalities[M].Dubai:Bentham Science Publishers Ltd,2011.27-89.
  • 7Krmic M,Pecaric J. Hilbert' s inequalities and their reverses[J].Publicationes Mathematicae Debrecen,2005,(3-4):315-331.
  • 8Azar L. On some extensions of Hardy-Hilbert' s inequality and applications[J].Journal of Inequalities and Applica-tions,2009,(546829).
  • 9Yang B C. A mixed Hilbert-type inequality with a best constant factor[J].International Journal of Pure and Ap-plied Mathematics,2005,(03):319-328.
  • 10匡继昌.常用不等式[M]济南:山东科学技术出版社,20043-29.

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