Source: wikibot/arakelyan-s-theorem
= Arakelyan's theorem
{wiki=Arakelyan's_theorem}
Arakelyan's theorem is a result in approximation theory, particularly concerning the approximation of continuous functions by certain classes of functions. It states that if \\( f \\) is a continuous function defined on a compact subset of \\( \\mathbb\{R\}^n \\) that is not identically zero, then there exists a sequence of functions that can approximate \\( f \\) arbitrarily closely.