## Illinois Journal of Mathematics

### Alternate characterizations of bounded variation and of general monotonicity for functions

Barry Booton

#### 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.

#### Article information

Source
Illinois J. Math., Volume 60, Number 2 (2016), 551-561.

Dates
Revised: 25 January 2017
First available in Project Euclid: 11 July 2017

https://projecteuclid.org/euclid.ijm/1499760022

Digital Object Identifier
doi:10.1215/ijm/1499760022

Mathematical Reviews number (MathSciNet)
MR3680548

Zentralblatt MATH identifier
1371.26014

#### Citation

Booton, Barry. Alternate characterizations of bounded variation and of general monotonicity for functions. Illinois J. Math. 60 (2016), no. 2, 551--561. doi:10.1215/ijm/1499760022. https://projecteuclid.org/euclid.ijm/1499760022

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