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An elementary proof of the theorem that absolute gauge integrability implies Lebesgue integrability

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Abstract

It is commonly known that absolute gauge integrability, or Henstock-Kurzweil (H-K) integrability implies Lebesgue integrability. In this article, we are going to present another proof of that fact which utilizes the basic definitions and properties of the Lebesgue and H-K integrals.

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  1. Department of Mathematics, Howard University, Washington DC, 20059, USA

    Timothy Myers

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  1. Timothy Myers
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Correspondence to Timothy Myers.

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Myers, T. An elementary proof of the theorem that absolute gauge integrability implies Lebesgue integrability. Czech Math J 60, 621–633 (2010). https://doi.org/10.1007/s10587-010-0058-7

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  • DOI: https://doi.org/10.1007/s10587-010-0058-7

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