On AP–Henstock–Kurzweil Integrals and Non-Atomic Radon Measure

Hemanta Kalita, Bipan Hazarika () and Tomás Pérez Becerra
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Hemanta Kalita: Department of Mathematics, Assam Don Bosco University, Guwahati 782402, Assam, India
Bipan Hazarika: Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
Tomás Pérez Becerra: Institute of Physics and Mathematics, Technological University of the Mixteca, Oaxaca 69000, Mexico

Mathematics, 2023, vol. 11, issue 6, 1-16

Abstract: The AP–Henstock–Kurzweil-type integral is defined on X , where X is a complete measure metric space. We present some properties of the integral, continuing the study’s use of a Radon measure μ . Finally, using locally finite measures, we extend the AP–Henstock–Kurzweil integral theory to second countable Hausdorff spaces that are locally compact. A Saks–Henstock-type Lemma is proved here.

Keywords: AP–Henstock–Kurzweil integral; second countable locally compact Hausdorff spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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