文献类型：期刊文献

英文题名：The Schur-convexity of the mean of a convex function

作者：Shi, Huan-Nan[1];Li, Da-Mao[1];Gu, Chun[1]

第一作者：Shi, Huan-Nan

通讯作者：Shi, HN[1]

机构：[1]Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China

第一机构：北京联合大学应用科技学院电子信息系|北京联合大学师范学院

通讯机构：[1]corresponding author), Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China.|[1141711]北京联合大学师范学院;[11417]北京联合大学;[11417111]北京联合大学应用科技学院电子信息系;[1141775]应用科技学院;

年份：2009

卷号：22

期号：6

起止页码：932-937

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：;EI(收录号：20091712056301);Scopus(收录号：2-s2.0-64949155006);WOS:【SCI-EXPANDED(收录号:WOS:000266213800023)】；

基金：The authors are indebted to the referees for their helpful suggestions. Huan-Nan Shi was supported in part by the Scientific Research Common Program of Beijing Municipal Commission of Education (KM200611417009).

语种：英文

外文关键词：Schur-convex function; Schur-concave function; Inequality; Hadamard's inequality; Stolarsky's mean

摘要：The Schur-convexity at the upper and lower limits of the integral for the mean of a convex function is researched. As applications, a form with a parameter of Stolarsky's mean is obtained and a relevant double inequality that is an extension of a known inequality is established. (C) 2009 Elsevier Ltd. All rights reserved.