Probability inequalities for decomposition integrals

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:315

Article

Agahi, Hamzeh¹  Mesiar, Radko^2,3 

[1] Babol Noshirvani Univ Technol, Fac Basic Sci, Dept Math, Babol Sar, Iran

[2] Slovak Univ Technol Bratislava, Dept Math & Descript Geometry, Fac Civil Engn, SK-81005 Bratislava, Slovakia

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, Vodarenskou Vezi 4, CR-18208 Prague 8, Czech Republic

关键词: Decomposition integral;    Superdecomposition integral;    Probability inequalities;    Generalized probability theory;   

DOI  :  10.1016/j.cam.2016.11.014

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free