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Research Article Open access CC BY 4.0

A Henstock Approach of the PUL-integra

Erwin P. Ambasa, Greig Bates C. Flores

Asian Research Journal of Mathematics · pp. 105–114 · Published 20 Aug 2022

10.9734/arjom/2022/v18i1030421

Abstract

The PUL-integral is a McShane type of definition in which the notion of a partition of unity is of great importance. It was first introduced by Kurzweil and Jarnik. Recently, Boonpogkrong revisited this definition and presented its, relatively, simplified approach. In this paper, a Henstock-Kurzweil approach of this integral including its fundamental properties will be presented.

Partition of unity perron-type convergence theorems

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