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On Bernstein and Markov-Type Inequalities for Multivariate Polynomials on Convex Bodies

✍ Scribed by András Kroó; Szilárd Révész

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 161 KB
Volume: 99
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3314

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The principal result of this paper is the following Markov-type inequality for Mu ntz polynomials. Theorem (Newman's Inequality in L p [a, b] for [a, b]/(0, )). Let 4 := (\\* j ) j=0 be an increasing sequence of nonnegative real numbers. Suppose \\* 0 =0 and there exists a $>0 so that \\* j $j for e