文献类型：期刊文献

英文题名：Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

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：2018

卷号：2018

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-85040247887);WOS:【SCI-EXPANDED(收录号:WOS:000419569400001)】；

基金：This research was supported partially by the National Natural Sciences Foundation of China (11601214, 11526107) and the Natural Science Foundation of Fujian Province of China (2016J01023). The authors would like to express sincere appreciation to the anonymous reviewers for their helpful comments and suggestions.

语种：英文

外文关键词：geometric Bonferroni mean; Schur's condition; majorization relationship; inequality

摘要：In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.