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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Henstock integrable functions are Lebesgue integrable on a portion
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by Zoltán Buczolich PDF
Proc. Amer. Math. Soc. 111 (1991), 127-129 Request permission

Abstract:

If a real function $f$ defined on an interval $I \subset {{\mathbf {R}}^m}$ is Henstock integrable, then one can always find a nondegenerate subinterval $J \subset I$ on which $f$ is Lebesgue integrable.
References
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 127-129
  • MSC: Primary 26A39; Secondary 26A42, 28A25
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1034883-6
  • MathSciNet review: 1034883