Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 105-127 |
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Flores G B C. On the PUL-Stieltjes Integral on Smooth Manifolds. IJMSI 2026; 21 (2) :105-127
URL: http://ijmsi.ir/article-1-2393-en.html
URL: http://ijmsi.ir/article-1-2393-en.html
Abstract:
The notion of the PU integral was first formulated by Kurzweil and Jarnik. It is a Henstock type that utilizes the concept of a partition of unity in it covering system. They mentioned, without much details, that this integration process may be used in the formulation of the Henstock integral in manifolds. In this paper, the above query will be revisit and the Henstock integral of a function defined on a manifold will be presented including some of its fundamental properties.
Keywords: Partition of unity, Henstock integral on manifolds, Saks-Henstock lemma, Change of variable formula.
Type of Study: Research paper |
Subject:
General
References
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