The second Zolotarev case in the Erdös-Szegö solution to a Markov-type extremal problem of Schur

The second Zolotarev case in the Erdös-Szegö solution to a Markov-type extremal problem of Schur

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Schur's [20] Markov-type extremal problem is to determine (i) \(M_n= \sup_{-1\leq \xi\leq 1}\sup_{P_n\in\mathbf{B}_{n,\xi,2}}(|P_n^{(1)}(\xi)| / n^2)\), where \(\mathbf{B}_{n,\xi,2}=\{P_n\in\mathbf{B}_n:P_n^{(2)}(\xi)=0\}\subset \mathbf{B}_n=\{P_n:|P_n(x)|\leq 1 \;\textrm{for}\; |x| \leq 1\}\)...

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Bibliographic Details
Main Author: Heinz Joachim Rack
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2017-09-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Abel's equation
Chebyshev
critical points
elliptic function
Erdos
equioscillation
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1100

Internet

https://ictp.acad.ro/jnaat/journal/article/view/1100

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