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Further results on an integral representation of functions of generalised variation
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper we present further properties of the kth variation of a function, and obtain an integral representation for a function having bounded kth variation and an absolutely continuous (k-l)th derivative. The absolute continuity-requirement replaces a previous stronger condition that required the kth derivative of a function to be continuous except on a set of Lebesgue measure zero.
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- Copyright © Australian Mathematical Society 1978
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