On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
Given a convex body \(K\subset\mathbb{R}^m\), let \(p_n\) be a polynomial of degree \(n\) such that \(\|p_n\|_{C(K)}=1\). Some local and uniform estimates for the magnitude of \(\text{grad} p_n\) are discussed.
gradient and directional derivative of polynomials
scientific article; zbMATH DE number 1333086