Lipschitz continuous

Lipschitz continuous (not comparable)

1. (mathematics) (Of a real-valued real function ${\displaystyle f}$) Such that there exists a constant ${\displaystyle K}$ such that whenever ${\displaystyle x_{1}}$ and ${\displaystyle x_{2}}$ are in the domain of ${\displaystyle f}$, ${\displaystyle |f(x_{1})-f(x_{2})|\leq K|x_{1}-x_{2}|}$.