On Bernstein and Markov-Type Inequalities for Multivariate Polynomials on Convex Bodies
نویسنده
چکیده
Let p n be a polynomial of m variables and total degree n such that & p n & C(K) =1, where K/R m is a convex body. In this paper we discuss some local and uniform estimates for the magnitude of grad p n under the above conditions. 1999 Academic Press Key Words: multivariate polynomials; convex bodies; gradient and directional derivative of polynomials.
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