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Some Extremal Problems for Multivariate Polynomialson Convex Bodies

✍ Scribed by András Kroó; Darrell Schmidt

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
394 KB
Volume
90
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper we extend some Chebyshev and Remez-type inequalities for multivariate polynomials.

1997 Academic Press

Consider the set P n of complex valued polynomials of m real variables and of total degree at most n:

| the uniform norm of p on K, and let ' m (K) be the m-dimensional Lebesque measure of K/R m .

In this paper we shall consider two basic problems.

article no. AT963083 415

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