In this paper we extend the generalized Henstock-Kurzweil (GHk) integral to the case of metric semigroup-valued functions, defined on (possibly) unbounded subintervals of the extended real line. Some basic properties and convergence theorems for this integral are deduced, and moreover in this paper we prove also an extension Cauchy-type theorem.
Stieltjes-type integrals for metric semigroup-valued functions defined on unbounded intervals
BOCCUTO, Antonio;CANDELORO, Domenico;SAMBUCINI, Anna Rita
2007
Abstract
In this paper we extend the generalized Henstock-Kurzweil (GHk) integral to the case of metric semigroup-valued functions, defined on (possibly) unbounded subintervals of the extended real line. Some basic properties and convergence theorems for this integral are deduced, and moreover in this paper we prove also an extension Cauchy-type theorem.File in questo prodotto:
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