Influence of poles on equioscillation in rational approximation

• Published in: Український математичний журнал
• Date: 2006
• ISSN: 1027-3190
• Main Author: Blatt, H.-P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164020
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Influence of poles on equioscillation in rational approximation / H.-P. Blatt // Український математичний журнал. — 2006. — Т. 58, № 1. — С. 3–11. — Бібліогр.: 7 назв. — англ.

The error curve for rational best approximation of f ∈ C[−1, 1] is characterized by the well-known equioscillation property. Contrary to the polynomial case, the distribution of these alternations is not governed by the
 equilibrium distribution. It is known that these points need not to be...