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

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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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5611
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Greig Bates C. Flores, Amira Flores
European Journal of Pure and Applied Mathematics
advanced mathematical theories
article

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

Greig Bates C. Flores, Amira Flores
article en

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.

European Journal of Pure and Applied MathematicsVol. 18(2)
Central Mindanao University (PH)
Openalex Percentile: Top 86%
advanced mathematical theories
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