Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615151 | Journal of Mathematical Analysis and Applications | 2015 | 13 Pages |
Abstract
This study discusses the relationship between the concave integrals and the pan-integrals on finite spaces. The minimal atom of a monotone measure is introduced and some properties are investigated. By means of two important structure characteristics related to minimal atoms: minimal atoms disjointness property and subadditivity for minimal atoms, a necessary and sufficient condition is given that the concave integral coincides with the pan-integral with respect to the standard arithmetic operations + and ⋅ on finite spaces. Following this result, we have shown that these two integrals coincide if the underlying monotone measure is subadditive.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yao Ouyang, Jun Li, Radko Mesiar,