# Error bounds for second order approximation

Where here we prove an approximation bound for twice continuously differentiable functions with *M*-Lipschitzian Hessian, that is for all . In particular, we show that for all

This is stated as Lemma 1.2.4 in: Y. Nesterov, *Introductory Lectures on Convex Optimization – A basic course*, Kluwer Ac. Publishers, 2004. Continue reading →