An extremum problem concerning algebraic polynomials (Q1092187)
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scientific article; zbMATH DE number 4012939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An extremum problem concerning algebraic polynomials |
scientific article; zbMATH DE number 4012939 |
Statements
An extremum problem concerning algebraic polynomials (English)
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1986
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Sharp estimates of Markov type for derivatives of the polynomials \(p_n(x)=\sum^{n}_{k=0}a_k(1+x)^k(1-x)^{n-k}\) with \(a_k\geq 0\) in \(L^2\)-norm on \([-1,1]\) are given. This extends some earlier results by \textit{G.G.Lorentz} and the second author.
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Markov's inequality for polynomials
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