We report some results about the GH_k integral for metric semigroup-valued functions, defined on possibly unbounded subsets of the extended real line and taking values in Riesz spaces, and we state some convergence theorems. Among the tools, the divided differences have a particular importance. Our results extend some theorems of Das and Kundu, which were proved in the real-valued setting.
Some generalizations of the Kurzweil-Henstock integral in abstract spaces
BOCCUTO, Antonio
2007
Abstract
We report some results about the GH_k integral for metric semigroup-valued functions, defined on possibly unbounded subsets of the extended real line and taking values in Riesz spaces, and we state some convergence theorems. Among the tools, the divided differences have a particular importance. Our results extend some theorems of Das and Kundu, which were proved in the real-valued setting.File in questo prodotto:
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