Abstract
We find necessary and sufficient conditions for a function to be equal almost everywhere to a function of bounded variation. These results can be applied to broaden the class of general monotone functions.
Citation
Barry Booton. "Alternate characterizations of bounded variation and of general monotonicity for functions." Illinois J. Math. 60 (2) 551 - 561, Summer 2016. https://doi.org/10.1215/ijm/1499760022
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