The integral of a function with respect to a function. II

Lane, Ralph E.

doi:10.1090/S0002-9939-1955-0068612-8

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)

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The integral of a function with respect to a function. II
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by Ralph E. Lane

Proc. Amer. Math. Soc. 6 (1955), 392-401

DOI: https://doi.org/10.1090/S0002-9939-1955-0068612-8

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References

Ralph E. Lane, The integral of a function with respect to a function, Proc. Amer. Math. Soc. 5 (1954), 59–66. MR 59346, DOI 10.1090/S0002-9939-1954-0059346-3
H. L. Smith, On the existence of the Stieltjes integral, Trans. Amer. Math. Soc. 27 (1925), no. 4, 491–515. MR 1501324, DOI 10.1090/S0002-9947-1925-1501324-5

Existence conditions and a substitution theorem for Stieltjes mean integrals