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Corpus ID: 249848195

A convergence theorem for $ap-$Henstock-Kurzweil integral and its relation to topology

@inproceedings{Kalita2022ACT,
title={A convergence theorem for \$ap-\$Henstock-Kurzweil integral and its relation to topology},
author={Hemanta Kumar Kalita and Bipan Hazarika},
year={2022}
}

In this paper we discuss about the ap−Henstock-Kurzweil integrable functions on a topological vector spaces. Basic results of ap−Henstock-Kurzweil integrable functions are discussed here. We discuss the equivalence of the ap−Henstock-Kurzweil integral on a topological vector spaces and the vector valued ap−Henstock-Kurzweil integral. Finally, several convergence theorems are studied.

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