Probability inequalities for decomposition integrals

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• 作者：Hamzeh Agahi^a ; ^{h_agahi@nit.ac.ir} ; Radko Mesiar^b ; ^c ; ^{mesiar@math.sk}
• 关键词：Decomposition integral ; Superdecomposition integral ; Probability inequalities ; Generalized probability theory
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：240-248
• 全文大小：429 K
• 卷排序：315

文摘

Recently, in mathematical economics, Even and Lehrer introduced the decomposition integral (Even and Lehrer, 2014). In this paper, general versions of some well-known probabilistic inequalities for the decomposition integrals and the superdecomposition integrals are discussed that are still open for research. The main results of this paper generalize some previous results for particular integral inequalities obtained by several researchers in generalized probability theory.