期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一个新的较精确的半离散Hilbert型不等式 被引量：1

A New More Accurate Half-Discrete Hilbert-Type Inequality
在线阅读 下载PDF
导出
摘要 应用权系数方法及Hadamard不等式,建立一个新的具有最佳常数因子的半离散Hilbert型不等式,它联系着一个含对数的核ln(llnn(xx//lnn)n),并考虑了其较精确的多参数推广形式及其等价式. With the help of the way of weight coefficient and Hadamard＇s inequality, Hilbert-type inequality with a best constant factor was given. We also considered its extension form with multi-parameters as well as the equivalent form.
作者 杨必成
机构地区 广东第二师范学院数学系
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2012年第6期1081-1085,共5页 Journal of Jilin University:Science Edition
基金 广东省自然科学基金(批准号:7004344)
关键词 权系数 参数 HILBERT型不等式 等价式 weight coefficient parameter Hilbert-type inequality equivalent form a halLdiscrete more accurate
分类号 O178 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Hardy G H, I.ittlewood J E, P61ya G. Inequalities[M]. Cambridge: Cambridge University Press, 1952: 255-292.
  • 2Mitrinovic 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 Bi-cheng. On Hilbert's Integral Inequality [J]. Journal of Mathematical Analysis and Applications, 1998, 220(2) : 778-785.
  • 4YANG Bi-cheng. Hilbert-Type Integral Inequalities [M]. Dubai: Bentham Science Publishers Ltd, 2009:14-63.
  • 5YANG Bi-cheng. 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 Hard~Hilbert's Inequality and Applications [J/OL]. Journal of Inequalities and Applications, 2008, doi: 10. 1155/2008/546829.
  • 8YANG 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.
  • 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.一个半离散的Hilbert不等式[J].广东第二师范学院学报,2011,31(3):1-7. 被引量：59

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

同被引文献14

  • 1杨必成.算子范数于Hilbert型不等式[M].北京:科学出版社,2009.
  • 2Hardy G H, Littlewood J E, Polya G. Inequalities[ M . Cambridge: Cambridge University Press, 1952:255 - 292.
  • 3Mintrlnovlc D S, Peearie J E, Fink A M. Inequalities Involving Functions and Their Integrals and Derivatives [ M ]. Boston:Kluw- er Academic Publishers, 1991 : 187 - 215.
  • 4Yang B C. On Hilbert' s integral inequality[J]. J Math Anal Appl,1998 ,220 :778 -785.
  • 5Yang B C. On an extension of Hilbert' s integral inequality with some parameters[J]. Aust J Math Anal Appl,2004,1 ( 1 ) : 1 - 8.
  • 6Xu L Z, G uo Y K. Note on Hardy- Riesz' s extension of Hilbert' s inequality [ J ]. Chin Quart J Math, 1991,6 (1) :75 -77.
  • 7Gao M Z, Hsu L C. A survey of various refinements and generalizations of Hilbert' s inequalities[J]. J Math Res Exposition, 2005,25(2) :227 -243.
  • 8He B, Yang B C. On a half-discrete inequality with a generalized homogeneous kernel[J]. J Inequal Appl,2012,2012:30: 1 -21.
  • 9彭建文.变分不等式的新的外梯度方法(英文)[J].重庆师范大学学报（自然科学版）,2009,26(4):9-16. 被引量：8
  • 10匡继昌.Hilbert不等式研究的新进展[J].北京联合大学学报,2010,24(1):53-59. 被引量：7

引证文献1

吉林大学学报（理学版）
2012年 第6期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部