On Remez-type inequalities for polynomials in R^m and C^m

Author: Kroó A.  

Publisher: Springer Publishing Company

ISSN: 0133-3852

Source: Analysis Mathematica, Vol.27, Iss.1, 2001-01, pp. : 55-70

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Abstract

Remez-type inequalities provide estimates for the size of polynomials on given sets K⊂R^m(or C^m) when the magnitude of polynomials on “largeldquo” subsets of K is known. We shall study this question on “smooth” sets K in R^m and C^m and show how the smoothness of K effects the estimates.