Source: wikibot/bounded-variation
= Bounded variation
{wiki=Bounded_variation}
In mathematical analysis, a function is said to be of bounded variation on an interval if the total variation of the function over that interval is finite. Total variation gives a measure of the oscillation or fluctuation of the function values over the interval. \#\#\# Definition Let \\( f: \[a, b\] \\to \\mathbb\{R\} \\) be a real-valued function defined on the closed interval \\(\[a, b\]\\).