Analysis II HT23, Lipschitz Continuity
Flashcards
@Define what it means for a function $f : E \to \mathbb R$ to be Lipschitz continuous.
\[\exists K > 0 \text{ s.t. } \forall x,y \in E : \vert f(x) - f(y) \vert \le K \vert x-y \vert \]
What does Lipschitz continuity imply about uniform continuity?
Any Lipschitz continuous function is uniformly continuous.
Proofs
…empty…