Denjoy-type Integrals in Locally Convex Topological Vector Space

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DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4115

Keywords:

Denjoy Integral, Henstock Integral, LCTVS

Abstract

In this paper, we introduce AC* and ACG*-type properties and then, using these
conditions along with other concepts, define two Denjoy-type integrals of a function with values in a locally convex topological vector space (LCTVS). We show, among others, that these newly defined integrals are included in the SH integral, a stronger version of the Henstock integral for LCTVS-valued functions.

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How to Cite

Maza, R. E., & Canoy, Jr., S. R. (2021). Denjoy-type Integrals in Locally Convex Topological Vector Space. European Journal of Pure and Applied Mathematics, 14(4), 1169–1183. https://doi.org/10.29020/nybg.ejpam.v14i4.4115