Convergence of an algorithm for constructing snakes

• Datum: 1994
• Hauptverfasser: Dzyadyk, V. K., Kovtunets, V. V., Дзядик, В. К., Ковтунець, В. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5673
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate an algorithm for constructing snakes (extremal polynomials introduced by S. Karlin) suggested by Dzyadyk. It is proved that, in the general case, this algorithm is linearly convergent. In the case where the basis functions of the Chebyshev system belong to the class $C^2$, this algori...