Influence of poles on equioscillation in rational approximation

• Datum: 2006
• Hauptverfasser: Blatt, H. P., Блат, Х.П.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3429
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The error curve for the rational best approximation of ƒ ? 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 be dense in...