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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A direct proof that the RC-integral is equivalent to the $ D\sp{\ast} $-integral


Author: Yôto Kubota
Journal: Proc. Amer. Math. Soc. 80 (1980), 293-296
MSC: Primary 26A39
MathSciNet review: 577762
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Abstract: We give a direct and short proof that the Riemann complete integral defined by R. Henstock is equivalent to the special Denjoy integral.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0577762-3
PII: S 0002-9939(1980)0577762-3
Keywords: Riemann complete integral, special Denjoy integral, regular interval
Article copyright: © Copyright 1980 American Mathematical Society