期刊文献+

若干Hermite-Hadamard型不等式的改进 被引量:3

Improvements on Several Hermite-Hadamard Type Inequalities
下载PDF
导出
摘要 考虑利用导数来估计由Hermite-Hadamard型不等式生成的差值。利用可微凸函数的导函数的性质或者通过建立涉及导函数的积分恒等式,给出若干Hermite-Hadamard型不等式的改进。 In this paper,we consider to estimate the differences generated by Hermite-Hadamard type inequalities by using derivatives.By using the properties of derivatives of differentiable convex functions or by establishing integral identities involving derivatives,some improvements on Hermite-Hadamard type inequalities are given.
作者 曾志红 时统业 ZENG Zhihong;SHI Tongye(Editorial Department of Journal, Guangdong University of Education, Guangzhou, Guangdong 510303, China;PLA Naval Command College, Nanjing, Jiangsu 211800, China)
出处 《中州大学学报》 2018年第6期114-119,共6页 Journal of Zhongzhou University
关键词 Hermite-Hadamard型不等式 凸函数 可微函数 Hermite-Hadamard type inequality convex function differentiable function
  • 相关文献

参考文献8

二级参考文献45

  • 1邓勇平,吴善和.Hadamard型不等式的若干推广[J].贵州师范大学学报(自然科学版),2007,25(1):63-67. 被引量:20
  • 2J HADAMARD, Etude sur les proprietes des fonctions entieres et en particulier d' une fonction consideree par Riemann[J]. Math Pures Appl, 1893(58) :171 - 215.
  • 3Mitrinovic D S, Lackovic I B. Hermite and convexity [ J ]. Aequationes Mathematicae, 1985,28 (2) :229-232.
  • 4G ZABANDAN. A new refinement of Hermite-Hadamard inequality for convex functions [ J ]. Inequal pure and Appl Math,2009,10(2) :1-6.
  • 5S S dragomir. Two mappings in connection to Hadamard's inequality [ J ]. Math Anal Appl, 1992 (167) : 49-56.
  • 6S S Dragomir. On Hadamard' s inequality for convex func- tions [ J ]. Mat Balkanica, 1992 (6) : 215-222.
  • 7S S Dragomir. A mapping in connvection to Hadamard' s inequalities [ J ]. An "'Oster Akad Wiss Math-Natur, 1991 (128) : 17-20.
  • 8S S Dragomir. On Hadamard' s inequality for convex func- tions [ J ]. Mat Balkanica, 1992 ( 6 ) : 215-222.
  • 9S S Dragomir, D S Milo'sevi'c and J, S'andor. On some refinements of Hadamard' s inequalities and applications [J]. Univ Belgrad Publ Elek Fak Sci Math,1993(4) :21-24.
  • 10L-C WANG. On extensions and refinements of Hermite- Hadamard inequalities for convex functions[ J ]. Math Ineq Aool. 2003.6(4) :659-666.

共引文献51

同被引文献24

引证文献3

二级引证文献3

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