Geodesic
A convergence theorem for ap−Henstock-Kurzweil integral and its relation to topology
Filomat, Tome 36 (2022) no. 20, p. 6831

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DOI

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.
DOI : 10.2298/FIL2220831K
Classification : 26A39, 46B03, 46B20, 46B25
Keywords: ap−Henstock-Kurzweil integrable function, locally convex topology, topology in the primitive class 
Hemanta Kalita; Bipan Hazarika. A convergence theorem for ap−Henstock-Kurzweil integral and its relation to topology. Filomat, Tome 36 (2022) no. 20, p. 6831 . doi: 10.2298/FIL2220831K
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     author = {Hemanta Kalita and Bipan Hazarika},
     title = {A convergence theorem for {ap\ensuremath{-}Henstock-Kurzweil} integral and its relation to topology},
     journal = {Filomat},
     pages = {6831 },
     year = {2022},
     volume = {36},
     number = {20},
     doi = {10.2298/FIL2220831K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2220831K/}
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