In this paper we generalize to the case of Riesz space-valued functions, defined on (possibly) unbounded subintervals of the extended real line, the GH_k integral investigated and we then extend the main properties, the Hake's theorm, the Henstock Lemma and the Fundamental Formula of Calculus. Furthermore we give some versions of the monotone and dominated convergence theorems.
Some properties of an improper GH_k integral in Riesz spaces
BOCCUTO, Antonio;SAMBUCINI, Anna Rita
2008
Abstract
In this paper we generalize to the case of Riesz space-valued functions, defined on (possibly) unbounded subintervals of the extended real line, the GH_k integral investigated and we then extend the main properties, the Hake's theorm, the Henstock Lemma and the Fundamental Formula of Calculus. Furthermore we give some versions of the monotone and dominated convergence theorems.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
