Higher order Hermite-Fejer Interpolation on the unit circle

Autor:	Bahadur, Swarnima, Varun
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis 41A05 (Primary) 97N50 41A10 30E10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	The aim of this paper is to study the approximation of functions using a higher order Hermite-Fejer interpolation process on the unit circle. The system of nodes is composed of vertically projected zeros of Jacobi polynomials onto the unit circle with boundary points at $ \pm1 $. Values of the polynomial and its first four derivatives are fixed by the interpolation conditions at the nodes. Convergence of the process is obtained for analytic functions on a suitable domain, and the rate of convergence is estimated. Comment: 11 pages, 1 figure, submitted to springer journal CONSTRUCTIVE APPROXIMATION
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.13161 Zobrazit plný text záznamu View this record from Arxiv