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一类对称函数的Schur-几何凸性Schur-调和凸性 被引量：1

The Schur-geometrical Convexity and Schur-harmonic Convexity for a Class of Symmetric Functions
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摘要 讨论一类对称函数的Schur-几何凸性和Schur-调和凸性.作为应用,利用控制理论,也得到一些新的分析不等式. This paper deals with the Schur-geometrical convexity and Schur-harmonic convexity for a class of symmetric functions. As applications, some analytic inequalities are established by use of the theory of majorization.
作者 邵志华
机构地区 浙江广播电视大学平湖学院
出处 《数学的实践与认识》 CSCD 北大核心 2012年第16期199-206,共8页 Mathematics in Practice and Theory
基金 浙江省教育厅课题<最值压缩定理及应用>(Y201223283)成果之一
关键词 Schur-凸性 Schur-几何凸性 Schur-调和凸性 分析不等式 Schur-convexity Schur-geometrical convexity Schur-harmonic convexity ana-lytic inequality
分类号 O174.13 [理学—基础数学]
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参考文献12

  • 1褚玉明,夏卫锋,赵铁洪.一类对称函数的Schur凸性[J].中国科学（A辑）,2009,39(11):1267-1277. 被引量：11
  • 2Albert W. Marshall,Ingrain Olkin. Inequalities:Theory of Majorization and Its Applications[M]. New York :Academic Press,Inc,1979.
  • 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
  • 4Yuming Chu,Yupei Yi. The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications[J]. Journal of Inequalities and Applications,Vol.2009(2009), Article ID 838529. htt p://www.hindawi.com/journals/jia.
  • 5Xiao-ming Zhang .Schur-geometric convexity of a function involving Maclaurin's elementary sym- metric mean[J].Journal of Inequalities in Pure and Applied Mathematics,2007,8(2). http: / /jipam.vu.edu.au/article.php?sid=863.
  • 6Guan Kai-zhong. Some properties of a class of symmetric functions[J]. J Math Anal Appl.,2007, 336: 70-80.
  • 7Wei-Feng Xia,Yu-Ming Chu.The Schur qonvexity and Schur multiplicative convexity for a class of symmetric functions with applications[J].Ukrainian Mathematical Journal, 2009, 61(10): 1306-1318.
  • 8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
  • 9顾春,石焕南.Lehme平均的Schur凸性和Schur几何凸性[J].数学的实践与认识,2009,39(12):183-188. 被引量：7
  • 10Shi Huan-nan, Jiang Yong-ming and Jiang Wei-dong. Schur-Convexity and Schur-Geometrically Concavity of Gini Mean[J]. Comput Math Appl, 2009, 57:266-274. http://dx.doi.org/10.1016/j.cam wa.2008.11.001.

二级参考文献8

共引文献37

同被引文献17

  • 1石焕南.一个有理分式不等式的加细(英文)[J].纯粹数学与应用数学,2006,22(2):256-262. 被引量：1
  • 2张晗方.几何不等式导引[M].北京:中国科学文化出版社,2003..
  • 3Marshall A W, Olkin I, Arnold B C. Inequalities: Theory of Majorization and Its Application [M]. 2nd ed. New York: Springer Press, 2011.
  • 4Chu 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.
  • 5Chu 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.
  • 6Guan 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.
  • 7Shi Huannan. Two Schur-convex functions related to Hadamard-type integral inequalities [J]. Publicationes Mathematicae Debrecen, 2011,78(2):393-403.
  • 8Culjak V. Schur-convexity of the weighted Cebi-ev functional [J]. Journal of Mathematical Inequalities, 2011,5(2):213-217.
  • 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.

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数学的实践与认识
2012年 第16期

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