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另一个新的与Hadamard不等式相关的映射 被引量:6

Another new mapping in connection to Hadamard's inequalities
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摘要 对于凸函数的Hadamard不等式的推广形式的不等式,本文引进了另一个与这个不等式相关的映射,从而给出了该不等式连续的加细.同时也提及了它的某些应用. We introduce a new mapping in connection to a generalization of Hadamard's inequalities for convex functions which give a continuous scale of refinements of the mentioned inequalities. Some applications are also mentioned.
作者 于永新 刘证
出处 《纯粹数学与应用数学》 CSCD 北大核心 2008年第3期547-550,共4页 Pure and Applied Mathematics
关键词 HADAMARD不等式 凸函数 推广 映射 Hadamard's inequalities, convex function, generalization, mapping
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参考文献5

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二级参考文献1

  • 1冯慈璜.关于凸函数的Hadamard不等式.数学年刊:A辑,1985,6(4):443-446.

共引文献69

同被引文献35

  • 1赵伟珍,李爱军.凸函数的一个Hadamard型不等式[J].安徽广播电视大学学报,2007(1):123-124. 被引量:4
  • 2柯源,杨斌,胡明旸.Hermite-Hadamard不等式的推广[J].数学的实践与认识,2007,37(23):161-164. 被引量:19
  • 3DRAGOMIR S S,AGARWAL P.Two new mappings associated with Hadamard's inequalities for con- vex functionsEJ~.Appl Math Lett, 1998,11 (3) ~ 33-38.
  • 4WANG Liangcheng. On extensions of two mappings associated with Hermite-Hadamard inequalities for convex functions[J].Publikacije Elektrotehniekog Fakulteta-Serija. Matematika, 2006,17 ~ 8-17.
  • 5WANG Liangcheng.Some refinements of Hermite-Hadamard inequalities for convex funetions[J].Pub- likacije Elektrotehnickog Fakulteta-Serija. Matematika, 2004,15 ~ 39-44.
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  • 7SARIKAYA M Z, SET E, YALDIZ H, et al.Hermite-Hadamard' s inequalities for fractional integrals and related fractional inequalities [J]. Mathematical and Computer Modelling, 2013,57 (9-10) : 2403- 2407.
  • 8CHEN feixiang. Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals[J] .Journal of Mathematical Inequalities, 2016,10 ( 1 ) : 75-81.
  • 9李泽妤,徐美萍,宋国华.Hermite—Hadamard不等式的改进[J].黑龙江大学自然科学学报,2008,25(3):297-300. 被引量:5
  • 10杨小军,高峰,钟卫平,徐丛丛.分数阶定积分学[J].世界科技研究与发展,2008,30(5):636-638. 被引量:2

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