Higher order Hermite-Fejer Interpolation on the unit circle
Numerical Analysis
2022-03-01 v1 Numerical Analysis
Abstract
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 . 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.
Cite
@article{arxiv.2202.13161,
title = {Higher order Hermite-Fejer Interpolation on the unit circle},
author = {Swarnima Bahadur and Varun},
journal= {arXiv preprint arXiv:2202.13161},
year = {2022}
}
Comments
11 pages, 1 figure, submitted to springer journal CONSTRUCTIVE APPROXIMATION