Some kinds of integral, like variational, (SL)- and Kurzweil-Henstock integral are introduced and investigated in the context of Riesz space-valued functions with respect to abstract interval bases. We prove the main basic properties about these types of integrals and some comparison results. Furthermore we deal with the analogies and the differences between the Riesz space context and the classical setting.
Comparison of some Henstock type integrals on the class of Riesz space-valued functions
BOCCUTO, Antonio;
2006
Abstract
Some kinds of integral, like variational, (SL)- and Kurzweil-Henstock integral are introduced and investigated in the context of Riesz space-valued functions with respect to abstract interval bases. We prove the main basic properties about these types of integrals and some comparison results. Furthermore we deal with the analogies and the differences between the Riesz space context and the classical setting.File in questo prodotto:
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