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关于一个较为精确的半离散Hilbert不等式

On a More Accurate Half-Discrete Hilbert's Inequality
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摘要 应用权系数的方法及改进的Euler-Maclaurin求和公式,建立一个具有最佳常数因子的含参数半离散Hilbert不等式,并考虑了它较为精确的推广式和等价式。 By using the way of weight coefficient and the improved Euler-Maclaurin discrete Hilbert＇ s inequality with a best constant factor and a parameter is given. A well as the equivalent forms is considered. summation formula, a half- more accurate extension as
作者 杨必成
机构地区 广东第二师范学院数学系
出处 《北京联合大学学报》 CAS 2012年第2期59-64,共6页 Journal of Beijing Union University
基金 广东省自然科学基金资助项目(7004344)
关键词 权系数 参数 HILBERT不等式 等价式 Weight coefficient Parameter Hilbert＇ s inequality Equivalent form
分类号 O178 [理学—基础数学]
  • 相关文献

参考文献12

  • 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 and derivatives [ M ]. Boston: Kluwer Academic Publishers, 1991 : 187 - 215.
  • 3Yang Bicheng. On Hilbert' s integral inequality [ J]. Journal of Mathematical Analysis and Applications, 1998 (220) : 778 -785.
  • 4Yang Bicheng. Hilbert-type integral inequalities [ M ]. Dubai: Bentham Science Publishers Ltd. , 2009 : 14 - 63.
  • 5Yang Bicheng. 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]. Journal of Inequalities and Applications, 2008, no. 546829.
  • 8Yang Bicheng. A mixed Hilbert-type inequality with a best constant factor [ J]. International Journal of Pure and Applied Mathematics, 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15

  • 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 and derivatives [M]. Bostom Kluwer Academic Publishers,1991.
  • 3YANG Bi-cheng. Hilbert-type integral inequalities [M]. Bentham Science Publishers Ltd,2009.
  • 4YANG Bi-cheng. Discrete Hilbert-type inequalities [M]. Bentham Science Publishers Ltd,2011.
  • 5YANG Bi-cheng. On Hilbert's integral inequality [J]. Journal of Mathematical Analysis and Applications, 1998,220.. 778-785.
  • 6YANG 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.
  • 7YANG Bi-cheng.Hilbert-type integral inequalities. . 2009
  • 8YANG Bi-cheng.Discrete Hilbert-type inequalities. . 2011
  • 9Hardy GH,Littlewood JE,Polya G.Inequalities. . 1952
  • 10Mitrinovic DS,Pecaric JE,Fink AM.Inequalities involving functions and their integrals and derivatives. . 1991

共引文献60

北京联合大学学报
2012年 第2期

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