Derivatives of Faber Polynomials and Markov Inequalities
✍ Scribed by Igor E. Pritsker
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 138 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Zeros of orthogonal polynomials defined with respect to general measures are studied. It is shown that a certain estimate for the minimal distance between zeros holds if and only if the support \(F\) of the measure satisfies a homogeneity condition and Markov's inequality holds on \(F\). C 1994 Acad
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