Bulletin of the Australian Mathematical Society
- Bulletin of the Australian Mathematical Society / Volume 11 / Issue 02 / October 1974, pp 225-229
- Copyright © Australian Mathematical Society 1974
- DOI: http://dx.doi.org/10.1017/S0004972700043823 (About DOI), Published online: 17 April 2009
Research Article
An integral representation for a generalised variation of a function
A.M. Russella1
a1 Department of Mathematics, University of Melbourne, Parkville, Victoria.
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
(Received May 17 1974)
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