A Markov-type inequality for multivariate polynomials on a convex body
A Markov-type inequality for the k-homogeneous part of a multivariate polynomial on a convex centrally symmetric body is given and an extremal polynomial is found. This generalizes and extends some estimates for univariate and multivariate polynomials obtained by Markov, Bernstein, Visser, Reimer, and Rack.
markov-type inequality multivariate polynomials convex body