Hölder exponent
= Hölder exponent
{c}
{title2=$\alpha$}
The Hölder exponent in <Hölder continuity> measures the power in the bound $|f(x)-f(y)|\leq C|x-y|^\alpha$. For $0<\alpha\leq1$, a larger exponent imposes stronger local regularity on bounded distance ranges. Exponent one is <Lipschitz continuity>.