A convergence theorem for ap-Henstock-Kurzweil integral and its relation to topology
Abstract
In this redpaper 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.
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