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与Hermite-Hadamrd不等式相关的2个映射 被引量：5

Two Mappings Related to Hermite-Hadamard Inequality for Convex Functions
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摘要 定义了几个与凸函数Hermite-Hadamard不等式相关的映射,研究了它们的性质,获得了关于Hermite-Hadamard不等式的加细和一些新的不等式。 In this paper, by the Hermite-Hadamard inequality for convex function we defined some mappings, and investigated their properties. Finally it obtains some refinements for Hermite-Hadamard inequality and some new inequalities.
作者 王良成 张强
机构地区 重庆理工大学数学与统计学院
出处 《重庆理工大学学报（自然科学）》 CAS 2011年第4期102-105,共4页 Journal of Chongqing University of Technology：Natural Science
关键词 Hermite—Hadamard不等式 映射 凸函数 加细4 Hermite-Hadamard inequality mappings convex function refinement
分类号 O178 [理学—基础数学]
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参考文献7

  • 1Hadamard J. Etude sur les proprietees des fonctions entieres et an particulier d' une fonction consideree par Riemann[J]. J Math pure Appl, 1883,58 : 171 - 215.
  • 2Dragomir S S. Two mappings in connection to Hadamard' s inequalities[ J]. J Math Anal Appl, 1992:167:49 -56.
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  • 5WANG L C. On extension and refinements of Hermite-Hadamard inequalities for convex function [ J ] . Math Ineq Appl, 2003 (6) :659 -666.
  • 6WANG L C. Some refinements of Hermite-Hadamard inequalities for convex functions. Univ. Beograd. Publ. Elektrotehn. Fak. , Ser. Mat. ,2004,15(3) :39 -44.
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同被引文献41

  • 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
  • 2Dragomir S S. New refinements of the Hermite-Hadamard integral inequality for convex functions and applications [ J ]. Soochow journal of mathematics, 2002,28 ( 4 ) : 357- 374.
  • 3dragomir S S . Two mappings in connection to Hadamard's inequality [ J ]. Math Anal Appl, 1992 ( 167 ) :49-56.
  • 4Dragomir S S . On Hadamard' s inequality for convex functions [ J ]. Mat Balkanica, 1992 (6) : 215-222.
  • 5Dragomir S S. A mapping in connvection to Hadamard' s inequalities [ J ]. Anster Akad Wiss Math-Natur, 1991 (128) :17-20.
  • 6Dragomir S S . On Hadamard' s inequality for convex functions [ J ]. Mat Balkanica, 1992 ( 6 ) : 215-222.
  • 7Dragomir S S , Milosevic D S and Sondor J. On some re- finements of Hadamard' s inequalities and applications [J]. Univ Belgrad Publ Elek Fak Sci Math, 1993(4) : 21-24.
  • 8Zabandan G. A new refinement of Hermite-Hadamard ine- quality for convex functions [ J ]. Inequal pure and Appl Math,2009,10(2) : 1-6.
  • 9Wang L C. On extensions and refinements of Hermite- Hadamard inequalities for convex functions[ J]. Math Ineq Appl,2003,6(4) : 659-666.
  • 10Dragomir S S,Pearce C E M. Quasilinear and Hadamard' s inequality [ J ]. Math Ineq Appl, 2002,5 ( 3 ) :463-471.

引证文献5

二级引证文献12

重庆理工大学学报（自然科学）
2011年 第4期

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