Kurzweil-Henstock Integral in Riesz spaces

Indexed in: Scopus, EBSCO.

This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Šipoš integral, which has several applications in ...
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*(Excluding Mailing and Handling)

Convergence Theorems

Pp. 71-83 (13)

Antonio Boccuto, Beloslav Riecan and Marta Vrabelova


We continue to investigate the topics of Chapter 5, following the approach there introduced, and prove some versions of the Henstock Lemma, the Beppo Levi and the Lebesgue dominated convergence theorem.

Note that the involved measures and the domain of our functions can be even unbounded.