| Title |
Convergence theorems in the sense of Vitali and Lusin for the Ito-Henstock integral |
|
Authors |
Labendia, Mhelmar; Arcede, Jayrold |
|
Publication date |
2021 |
|
Journal |
Proceedings of the Singapore National Academy of Science |
| Volume |
15 |
| Issue |
1 |
| Pages |
23-34 |
| Publisher |
World Scientific |
| Abstract |
In this paper, we formulate a version of convergence theorem using double Lusin condition and a version of Vitali convergence theorem for the Ito-Henstock integral of an operator-valued stochastic process with respect to a Q-Wiener process. |
| Index terms / Keywords |
Ito-Henstock integrable; Vitali convergence theorem; double Lusin condition; Q-Wiener process. |
| DOI |
|
| URL |
|
Mindanao State
University - Iligan Institute of Technology