On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies

Authors
Citation
A. Kroo et S. Revesz, On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies, J APPROX TH, 99(1), 1999, pp. 134-152
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
99
Issue
1
Year of publication
1999
Pages
134 - 152
Database
ISI
SICI code
0021-9045(199907)99:1<134:OBAMIF>2.0.ZU;2-H
Abstract
Let p(n) be a polynomial of m variables and total degree n such that \\p(n) \\(C(K)) = 1, where K subset of R-m is a convex body. In this paper wr disc uss some local and uniform estimates ibr the magnitude of grad p(n) under t he above conditions. (C) 1999 Academic Press.