文献类型：期刊文献

英文题名：Two Schur-convex functions related to Hadamard-type integral inequalities

作者：Shi H.-N.[1]

第一作者：Shi H.-N.

通讯作者：Shi, HN[1]

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

第一机构：北京联合大学师范学院|北京联合大学应用科技学院电子信息系

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

年份：2011

卷号：78

期号：2

起止页码：393-403

外文期刊名：PUBLICATIONES MATHEMATICAE-DEBRECEN

收录：;Scopus(收录号：2-s2.0-79955589647);WOS:【SCI-EXPANDED(收录号:WOS:000287790400009)】；

基金：The author was supported in part by the Scientific Research Common Program of Beijing Municipal Commission of Education (KM201011417013).

语种：英文

外文关键词：Schur-convex function; Schur-geometrical convex function and the Schur-harmonic convex function; inequality; convex function Hadamard's inequality; logarithmic mean; power mean

摘要：The Schur-convexity, the Schur-geometric convexity and the Schur-harmonic convexity of two mappings which related to Hadamard-type integral inequalities are researched. And three refinements of Hadamard-type integral inequality are obtained, as applications, some inequalities related to the arithmetic mean, the logarithmic mean and the power mean are established.