EQUIVALENCE OF SEQUENTIAL HENSTOCK AND TOPOLOGICAL HENSTOCK INTEGRALS FOR INTERVAL VALUED FUNCTIONS.

Authors :: ILUEBE, V. O.
MOGBADEMU, A. A.
Source :: Journal of Mahani Mathematical Research Center; 2023, Vol. 12 Issue 2, p267-274, 8p
Publication Year :: 2023
Abstract: Suppose X is a locally compact Hausdorff space and Ώ ∈ Δ. If F is an interval valued function defined in with F: Ώ → I<subscript>R</subscript>. Suppose F is Topological Henstock integrable, is F Sequential Henstock integrable? Therefore, the purpose of this paper is to provide a positive response to this query. [ABSTRACT FROM AUTHOR]

Subjects :: MATHEMATICAL equivalence
HENSTOCK-Kurzweil integral
MATHEMATICAL functions
HAUSDORFF spaces
INTEGRABLE functions

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