Abstract
In this note we present sufficient conditions for the continuity of the total kth variation of a function defined on a closed interval [a, b]. We also give an integral representation for total feth variation, thus obtaining an extension of the classical result
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Generalised Hölderian functions;Bulletin of the Australian Mathematical Society;1989-08
2. Riemann derivatives and general integrals;Bulletin of the Australian Mathematical Society;1987-04
3. Further results on an integral representation of functions of generalised variation;Bulletin of the Australian Mathematical Society;1978-06