Generalized Integrals with Respect to Functions of Bounded Variation

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...

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Bibliographic Details
Published in:Canadian journal of mathematics 1958, Vol.10, p.617-626
Main Author: Jeffery, R. L.
Format: Article
Language:English
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Summary: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.
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-1958-062-7