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Proceedings of the American Mathematical Society

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



An extension of the Denjoy integral

Author: James Foran
Journal: Proc. Amer. Math. Soc. 49 (1975), 359-365
MSC: Primary 26A39
MathSciNet review: 0367128
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Abstract: The purpose of this paper is to exhibit an additive class of continuous functions such that each function of the class satisfies Lusin's condition $ ({\text{N}})$. Restricting this class to those functions which are approximately derivable almost everywhere produces a class of primitives which is more extensive than the class of ACG functions, the primitives for the wide sense Denjoy integral.

References [Enhancements On Off] (What's this?)

  • [1] S. Saks, Theory of the integral, 2nd rev. ed., Monografie Mat., vol. VII, PWN, Warsaw, 1937.

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Article copyright: © Copyright 1975 American Mathematical Society

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