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两类较为精确半离散逆向的Hilbert不等式

Two Classes of More Accurate Half-discrete Reverse Hilbert's Inequalities
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摘要 应用权函数方法及改进的Euler-Maclaurin求和公式,建立两个具有最佳常数因子的含参数半离散逆向的Hilbert不等式,并分别考虑了它们的等价形式. By using the weight function and the improved Euler-Maclaurin summation formula,two half-discrete reverse Hilbert＇s inequalities are derived with the best constant factors and a parameter.And the equivalent forms are considered respectively.
作者 杨必成
机构地区 广东第二师范学院数学系
出处 《新乡学院学报》 2012年第1期1-5,共5页 Journal of Xinxiang University
基金 广东省自然科学基金项目(7004344)
关键词 权函数 参数 HILBERT不等式 等价式 逆式 weight function parameter Hilbert＇s inequality equivalent form reverse
分类号 O178 [理学—基础数学]
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参考文献14

  • 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 Involving Functions and Their Integrals andDerivatives[M].Boston:Kluwer Academic Publishers,1991:187-215.
  • 3YANG B C.On Hilbert’s Integral Inequality[J].Journal of Mathematical Analysis and Applications,1998,220:778-785.
  • 4YANG B C.Hilbert-type Integral Inequalities[M].Dubai:Bentham Science Publishers Ltd,2009:14-63.
  • 5YANG B C.Discrete Hilbert-type Inequalities[M].Dubai:Bentham Science Publishers Ltd,2011:27-89.
  • 6KRNIC M,PECARIC J.Hilbert’s Inequalities and Their Reverses[J].Publ Math Debrecen,2005,67(3/4):315-331.
  • 7AZAR L E.On Some Extensions of Hardy-Hilbert’s Inequality and Applications[J/OL].Journal of Inequalities andApplications,2008,2008:1-14.[2011-12-22].http://www.deepdyve.com/lp/hindawi-publishing-corporation/on-some-extensions-of-hardy-hilbert-s-inequality-and-applications-b1H2Biyt0n.
  • 8YANG B C.A Mixed Hilbert-type Inequality with a Best Constant Factor[J].International Journal of Pure and AppliedMathematics,2005,20(3):319-328.
  • 9杨必成.一个半离散非齐次核的Hilbert型不等式[J].新乡学院学报,2011,28(5):385-387. 被引量：17
  • 10杨必成.关于一个半离散且非齐次核逆向的Hilbert型不等式[J].内蒙古师范大学学报（自然科学汉文版）,2011,40(5):433-436. 被引量：18

二级参考文献23

  • 1匡继吕.常用不等式[M].济南:山东科学技术出版社,2004.
  • 2HARdy G H, LITTLEWOOD J E, POLYA G. Inequalities[M]. Cambridge: Cambridge University Press, 1952: 255-292.
  • 3MINTRINOVICE D S, PECARIC J E, FINK A M. Inequalities involving functions and their integrals and derivatives [M]. Bostom Kluwer Academic Publishers,1991.
  • 4YANG Bi-cheng. Hilbert-type integral inequalities [M]. Bentham Science Publishers Ltd,2009.
  • 5YANG Bi-cheng. Discrete Hilbert-type inequalities [M]. Bentham Science Publishers Ltd,2011.
  • 6YANG Bi-cheng. On Hilbert's integral inequality [J]. Journal of Mathematical Analysis and Applications, 1998,220.. 778-785.
  • 7YANG Bi-cheng. A mixed Hilbert-type inequality with a best constant factor [J]. International Journal of Pure and Applied Mathematics,2005,20(3) : 319-328.
  • 8Hardy G l-I, Littlewood J E, Polya G. Inequalities[M]. Cambridge: Cambridge University Press, 1952.
  • 9Mintrinovic D S, Pecaric J E, Fink A M. Inequalities involving functions and their integrals and dreivatives[M]. Boston: Kluwer Academic Publishers, 1991.
  • 10Yang Bi-eheng. Hilbert-type integral inequalities[M]. Dubai: Bentham Science Publishers Ltd, 2009.

共引文献62

新乡学院学报
2012年 第1期

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