A Henstock Approach of the PUL-integra
Erwin P. Ambasa *
Department of Mathematics, Mathematics Faculty, Central Mindanao University, Philippines.
Greig Bates C. Flores
Department of Mathematics, Mathematics Faculty, Central Mindanao University, Philippines.
*Author to whom correspondence should be addressed.
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.
Keywords: Partition of unity, perron-type, convergence theorems