RT - Journal Article T1 - Some Convergence Theorems of the pul-Stieltjes Integral JF - IJMSI YR - 2021 JO - IJMSI VO - 16 IS - 2 UR - http://ijmsi.ir/article-1-1240-en.html SP - 61 EP - 72 K1 - PUL-Stieltjes Integral K1 - Uniform Convergence K1 - Equi-integrability. AB - 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. LA eng UL http://ijmsi.ir/article-1-1240-en.html M3 10.52547/ijmsi.16.2.61 ER -