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A Class of Schur Convex Functions and Several Geometric Inequalities

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【作者】 Wang WenYang Shi-guoRong Xiao-chun

【Author】 Wang Wen;Yang Shi-guo;Rong Xiao-chun;School of Mathematics and Statistics, Hefei Normal University;

【机构】 School of Mathematics and Statistics, Hefei Normal University

【摘要】 Schur convexity, Schur geometrical convexity and Schur harmonic convexity of a class of symmetric functions are investigated. As consequences some known inequalities are generalized. In addition, a class of geometric inequalities involving n-dimensional simplex in n-dimensional Euclidean space Enand several matrix inequalities are established to show the applications of our results.

【基金】 The Doctoral Programs Foundation(20113401110009) of Education Ministry of China;the Natural Science Research Project(2012kj11) of Hefei Normal University;the NSF(KJ2013A220) of Anhui Province
  • 【DOI】10.13447/j.1674-5647.2015.03.02
  • 【分类号】O174.13
  • 【下载频次】27
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