Title of article
Some Convergence Theorems of the PUL-Stieltjes Integral
Author/Authors
Flores, Greig Bates C Department of Mathematics - Central Mindanao University - Maramag - Bukidnon, Philippines , Benitez, Julius V Department of Mathematics and Statistics - Mindanao State University - Iligan Institute of Technology - Iligan City, Philippines
Pages
12
From page
61
To page
72
Abstract
The PUL integral is an integration process which uses the notion of partition of unity [3]. The definition of this integral is similar to the Gauge integral, which was defined by Kurzweil and Henstock.
Also, it is equivalent to the Lebesgue integral in Euclidean n-dimensional
Spaces. Boonpogkrong [1] discussed the Kurzweil-Henstock integral on
manifolds. The PUL-Stieltjes integral, established by Flores and Benitez
[2], is a generalization of the PUL Integral. In this paper, we present
some Convergence Theorems for the PUL-Stieltjes integral. Notions on the equi-integrability of this integral is also presented in the paper.
Keywords
Partition of unity , Convergence Theorems , Equi-integrability
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Serial Year
2021
Record number
2684304
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