• 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. 

Banach-Steinhaus Theorem for the Space P of All Primitives of Henstock-Kurzweil Integrable Functions

  • Wee Leng Ng
  • Mathematics
    New Zealand Journal of Mathematics
  • 2021
In this paper, it is shown how the Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions on a closed bounded interval, equipped with the uniform norm,

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