A direct proof that the RCintegral is equivalent to the integral
Author:
Yôto Kubota
Journal:
Proc. Amer. Math. Soc. 80 (1980), 293296
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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Roy
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 R. Henstock, A new descriptive definition of the Ward integral, J. London Math. Soc. 35 (1960), 4348. MR 0110780 (22:1648)
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 , Theory of integration, Butterworths, London, 1963. MR 0158047 (28:1274)
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 , A Riemanntype integral of Lebesgue power, Canad. J. Math. 20 (1968), 7987. MR 0219675 (36:2754)
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 S. Saks, Theory of the integral, 2nd rev. ed., Dover, New York, 1964. MR 0167578 (29:4850)
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 A. J. Ward, The PerronStieltjes integral, Math. Z. 41 (1936), 578604. MR 1545641
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939198005777623
PII:
S 00029939(1980)05777623
Keywords:
Riemann complete integral,
special Denjoy integral,
regular interval
Article copyright:
© Copyright 1980
American Mathematical Society
