Convergence theorems for several decomposition type non-linear integrals

Ryoji Fukuda

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arXiv · 2108.09280

Convergence theorems for several decomposition type non-linear integrals

Ryoji Fukuda

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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.

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Ryoji Fukuda. 2021-08-19. Convergence theorems for several decomposition type non-linear integrals. https://arxiv.org/abs/2108.09280

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