Some Convergence Theorems of the pul-Stieltjes Integral

Author(s):

G. B. Flores* , J. Benitez

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The PUL integral is an integration process, similar to the Kurzweil-Henstock integral, which uses the notion of partition of unity. Boonpogkrong discussed the Kurzweil-Henstock integral on manifolds. The PUL-Stieltjes integral, established by Flores and Benitez, is an extension 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 are also presented in the paper.

Keywords:

PUL-Stieltjes Integral , Uniform Convergence , Equi-integrability

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:16 Issue: 2, Nov 2021
Pages:
61 to 72
https://www.magiran.com/p2334799