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

两类较为精确半离散逆向的Hilbert型不等式 被引量：1

Two Classes of More Accurate Half-discrete Reverse Hilbert-Type Inequalities
下载PDF
导出
摘要 应用权函数的方法及Hadamard不等式,建立两类具有最佳常数因子的、较为精确半离散逆向的Hilbert型不等式及其等价形式. By using the way of weight functions and Hadamardts inequality, two classes of more accurate half-discrete Hilbert-type inequalities as well as the equivalent forms with the same best constant factors are derived.
作者 杨必成
机构地区 广东第二师范学院数学系
出处 《广东第二师范学院学报》 2013年第3期1-7,共7页 Journal of Guangdong University of Education
基金 2012年度广东省普通高校科技创新项目(2012KJCX0079)
关键词 权函数 参数 HILBERT型不等式 等价式 逆式 weight function parameter Hilbert-type inequality~ equivalent form~ reverse
分类号 O178 [理学—基础数学]
  • 相关文献

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 I-M]. Boston Kluwer Academic Publishers, 1991:187-215.
  • 3YANG Bi-cheng. On Hilbert's integral inequality [J]. Journal of Mathematical Analysis and Applica- tions, 1998, 220. 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 Debreeen, 2005, 67 (3-4).315-331.
  • 7AZAR L. On some extensions of Hardy-Hilbert's inequality and applications [J-]. Journal of Inequali- ties and Applications,2009, no. 546829.
  • 8YANG Bi-cheng. A mixed Hilbert-type inequality with a best constant factor [J]. International Jour- nal 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不等式[J].湛江师范学院学报,2011,32(6):5-12. 被引量：7
  • 10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

二级参考文献33

  • 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

同被引文献5

引证文献1

广东第二师范学院学报
2013年 第3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