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Generalized Integrals with Respect to Functions of Bounded Variation

Published online by Cambridge University Press:  20 November 2018

R. L. Jeffery
R. L. Jeffery*
Affiliation:
Queen's University, Kingston
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A considerable literature has grown up around the analysis of the structure of a function in terms of its derivative, and the structure of functions F(x) which are integrals of various kinds. Some of this relates to derivatives and integrals of F(x) with respect to functions of bounded variation ω(x) (1-6) or, in the case of a paper by Ward (4), with respect to a function of generalized bounded variation in the restricted sense.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 617 - 626
Copyright
Copyright © Canadian Mathematical Society 1958

References

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5. Radon, J., Théorie und Anwendungen der absolut additiven Mengenfunktionen, Wiener Sitzungberichte, 122 (Abt. 11 A) (1913), 1295-1438.Google Scholar
6. Ward, A. J., The Perron-Stieltjes integral, Math. Zeit., 41 (1936), 578-604.Google Scholar