Some kinds of integrals, like variational, Kurzweil-Henstock and (SL)-integral are introduced and investigated in the context of Riesz space-valued functions and with respect to abstract derivation bases. Some versions of the Fundamental Theorem of Integral Calculus are given, using the basic tools of Differential and Integral Calculus in Riesz spaces. Moreover the concept of uniform integrability for a family of functions is introduced and investigated.
On Kurzweil-Henstock type integrals with respect to abstract derivation bases for Riesz space-valued functions
BOCCUTO, Antonio;
2006
Abstract
Some kinds of integrals, like variational, Kurzweil-Henstock and (SL)-integral are introduced and investigated in the context of Riesz space-valued functions and with respect to abstract derivation bases. Some versions of the Fundamental Theorem of Integral Calculus are given, using the basic tools of Differential and Integral Calculus in Riesz spaces. Moreover the concept of uniform integrability for a family of functions is introduced and investigated.File in questo prodotto:
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