Convergence theorems for several decomposition type non-linear integrals
General Mathematics
2021-08-23 v1
Abstract
These are classified by the direction of approximation (from above or below), the set family types (partition or covering) of simple functions, the coefficient signature (non-negative or signed), and cardinal number of terms of simple functions(finite or countable infinite). We will compare these integrals considering the monotone increasing/decreasing convergence theorems.
Cite
@article{arxiv.2108.09280,
title = {Convergence theorems for several decomposition type non-linear integrals},
author = {Ryoji Fukuda},
journal= {arXiv preprint arXiv:2108.09280},
year = {2021}
}
Comments
21 pages, no figure, English translation of Japanese paper