The Saks-Henstock Lemma and the Change of Variable Formula of the PU integral

Authors

  • Greig Bates Flores Department of Mathematics, Central Mindanao University, Maramag, Bukidnon, Philippines
  • Ann Leslie V. Flores Department of Mathematics, Central Mindanao University, Maramag, Bukidnon, Philippines

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5611

Keywords:

Gauge Integrals, Partition of Unity, Change of Variable Formula, Saks-Henstock

Abstract

Henstock integral is a generalized version of the Riemann integral and in most cases, it is more general than the Lebesgue integral that is not constructed through a measure theoretic standpoint. The PU integral, on one hand, is a Henstock type that utilizes the notion of a partition of unity. In this paper, the Saks-Henstock Lemma and the Change of variable formula for the PU integral will be established.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Greig Bates Flores, Ann Leslie V. Flores

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How to Cite

The Saks-Henstock Lemma and the Change of Variable Formula of the PU integral. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5611. https://doi.org/10.29020/nybg.ejpam.v18i2.5611