Abstract
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.
About this chapter
Cite this chapter as:
Antonio Boccuto, Beloslav Riecan, Marta Vrabelova ;Convergence Theorems, Kurzweil-Henstock Integral in Riesz spaces (2009) 1: 71. https://doi.org/10.2174/978160805003110901010071
DOI https://doi.org/10.2174/978160805003110901010071 |
Publisher Name Bentham Science Publisher |