文献类型：期刊文献

英文题名：Refinements of Jensen's inequalities for Choquet integrals and applications

作者：Wang, Hongxia[1,2]

第一作者：Wang, Hongxia;王洪霞

通讯作者：Wang, HX[1]

机构：[1]Henan Univ Econ & Law, Coll Stat, Zhengzhou, Henan, Peoples R China;[2]Anal & Res Ctr Educ & Stat Data Henan Prov, Zhengzhou, Henan, Peoples R China

第一机构：河南财经政法大学统计与大数据学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Coll Stat, Zhengzhou, Henan, Peoples R China.|[1048415]河南财经政法大学统计与大数据学院;[10484]河南财经政法大学;

年份：2023

卷号：457

起止页码：105-118

外文期刊名：FUZZY SETS AND SYSTEMS

收录：;EI(收录号：20222612287215);Scopus(收录号：2-s2.0-85132801298);WOS:【SCI-EXPANDED(收录号:WOS:000944693800001)】；

基金：Acknowledgements This work is supported by Scientific Research Foundation for Doctors of Henan Province (2019BJJ011) , University Key Research Project of Henan Province, China (18A110011) and National Training Program of Henan University of Economics and Law (202114) .

语种：英文

外文关键词：Jensen?s inequality; Jensen?s inequality in 2 dimensions; Choquet integral

摘要：In this paper, we investigate the refinements of Jensen's inequalities in Choquet calculus and applications. We propose respec-tively one refinement of Theorem 3.3 - Jensen type inequality I and four refinements of Theorem 3.4 - Jensen type inequality II in Wang's article (Wang, 2011 [10]), and then use these refinements to prove other inequalities. It is specially mentioned that Cheby-shev's inequality, Holder type inequality and Minkowski type inequality for Choquet integrals are proved more easily by using the refinements of Jensen type inequality in 2 dimensions. What's more, we provide some examples in the case of the distorted Lebesgue measure to illustrate our results.(c) 2022 Elsevier B.V. All rights reserved.