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一类条件不等式的控制证明与应用 被引量：1

Majorized proof and applications for a class of conditional inequality
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摘要 通过判断相关函数的Schur凸性、Schur几何凸性和Schur调和凸性,证明并推广了一类条件不等式,并据此建立了某些单形不等式. To determine Schur convexity, Schur-geometric and harmonic convexities of the related function, a class of conditional inequality is proved. As an application, several simplex inequalities are obtained .
作者 石焕南 张静
机构地区 北京联合大学师范学院电气信息系 北京联合大学基础部
出处 《纯粹数学与应用数学》 CSCD 2013年第5期441-449,共9页 Pure and Applied Mathematics
基金 北京市属高等学校人才强教计划资助项目(PHR201108407)
关键词 SCHUR 凸性 Schur调和凸性 Schur几何凸性 条件不等式 单形 Schur-convexity, Schur harmonic convexity, Schur geometric convexity, conditional inequality, simplex
分类号 O178 [理学—基础数学]
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参考文献18

  • 1Marshall A W, Olkin I, Arnold B C. Inequalities: Theory of Majorization and Its Application [M]. 2nd ed. New York: Springer Press, 2011.
  • 2Chu Yuming, Lfi Yupei. The Schur harmonic convexity of the Hamy symmetric function and its applica- tions [J]. Journal of Inequalities and Applications, 2009,13:29-38.
  • 3褚玉明,孙天川.THE SCHUR HARMONIC CONVEXITY FOR A CLASS OF SYMMETRIC FUNCTIONS[J].Acta Mathematica Scientia,2010,30(5):1501-1506. 被引量：13
  • 4Chu Y M, Wang G D, Zhang X H. The Schur multiplicative and harmonic convexities of the complete symmetric function [J]. Mathematische Nachrichten, 2011,284(5/6):653-663.
  • 5Guan Kaizhong, Guan Ruke. Some properties of a generalized Hamy symmetric function and its applica- tions [J]. Journal of Mathematical Analysis and Applications, 2011,376(2):494-505.
  • 6Shi Huannan. Two Schur-convex functions related to Hadamard-type integral inequalities [J]. Publicationes Mathematicae Debrecen, 2011,78(2):393-403.
  • 7Culjak V. Schur-convexity of the weighted Cebi-ev functional [J]. Journal of Mathematical Inequalities, 2011,5(2):213-217.
  • 8夏卫锋,褚玉明.THE SCHUR CONVEXITY OF GINI MEAN VALUES IN THE SENSE OF HARMONIC MEAN[J].Acta Mathematica Scientia,2011,31(3):1103-1112. 被引量：4
  • 9Yang Zhenhang. Schur harmonic convexity of Gini means [J]. International Mathematical Forum, 2011,6 (16):747-762.
  • 10Chu Yuming, Xia Weifeng. Necessary and sufficient conditions for the Schur harmonic convexity of the Generalized Muirhead Mean [J]. Proceedings of A. Razmadze Mathematical Institute, 2010,152:19-27.

二级参考文献66

  • 1程立新,张风.DIFFERENTIABILITY OF CONVEX FUNCTIONS AND ASPLUND SPACES[J].Acta Mathematica Scientia,1995,15(2):171-179. 被引量：3
  • 2PingZhiYUAN,HaiBoCHEN.Two Inequalities for Convex Functions[J].Acta Mathematica Sinica,English Series,2005,21(1):193-196. 被引量：2
  • 3张小明,续铁权.广义S-几何凸函数的定义及其应用一则[J].青岛职业技术学院学报,2005,18(4):60-62. 被引量：16
  • 4梅花,白春玲,满花.一个不等式猜想的推广[J].内蒙古民族大学学报（自然科学版）,2006,21(2):127-129. 被引量：1
  • 5Vamanamurthy M K, Vuorinen M. Inequalities for means. J Math Anal Appl, 1994, 183(1): 155-166.
  • 6Roberts A W, Varberg D E. Convex Functions. New York: Academic Press, 1973.
  • 7Niculescu C P, Persson L E. Convex Functions and Their Applications. New York: Springer-Verlag, 2006.
  • 8Matkowski J. Convex functions with respect to a mean and a characterization of quasi-arithmetic means. Real Anal Exchange, 2003/2004, 29(1): 229-246.
  • 9Bullen P S, Mitrinovid D S, Vasid P M. Means and Their Inequalities. Dordrecht: Reidel, 1988.
  • 10Das C, Mishra S, Pradhan P K. On harmonic convexity (concavity) and application to non-linear programming problems. Opsearch, 2003, 40(1): 42- 51.

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纯粹数学与应用数学
2013年 第5期

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