Denjoy-type Integrals in Locally Convex Topological Vector Space.

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 version of the Henstock integral, for LCTVSvalued functions. [ABSTRACT FROM AUTHOR]