• Corpus ID: 249848195

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

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



The AP-Henstock integral of vector-valued functions

  • Journal of Chuncheong Mathematical Society, 30(1)
  • 2017

On approximately continuous integrals (a survey)

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The note is related to a recently published paper J.M. Park, J. J. Oh, C.-G. Park, D.H. Lee: The AP-Denjoy and AP-Henstock integrals. Czech. Math. J. 57 (2007), 689–696, which concerns a descriptive

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