文献类型：期刊文献

英文题名：Schur convexity of the dual form of complete symmetric function involving exponent parameter

作者：Shi, Huan-Nan[1,2];Wu, Shan-He[1]

第一作者：Shi, Huan-Nan

通讯作者：Wu, SH[1]

机构：[1]Longyan Univ, Dept Math, Longyan 364012, Fujian, Peoples R China;[2]Beijing Union Univ, Dept Elect Informat, Beijing 100011, Peoples R China

第一机构：Longyan Univ, Dept Math, Longyan 364012, Fujian, Peoples R China

通讯机构：[1]corresponding author), Longyan Univ, Dept Math, Longyan 364012, Fujian, Peoples R China.

年份：2020

卷号：44

期号：44

起止页码：836-845

外文期刊名：ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

收录：EI(收录号：20203709176782);Scopus(收录号：2-s2.0-85090575615);WOS:【ESCI(收录号:WOS:000559341700075)】；

基金：This work was supported by the Teaching Reform Project of Fujian Provincial Education Department of China under Grant No. FBJG20180120. All authors contributed equally and significantly in writing this paper.

语种：英文

外文关键词：Schur-convexity; Schur-geometric convexity; Schur-harmonic convexity; complete symmetric function; dual form; inequality

摘要：In this paper, we generalize the dual form of complete symmetric function by introducing an exponent parameter, we also study the Schur-convexity, Schurgeometric convexity and Schur-harmonic convexity of this class of functions. As applications, we establish three new inequalities, which are associated with the arithmetic mean, geometric mean and harmonic mean.