HIGHER ORDER HERMITE-FEJER INTERPOLATION ON THE UNIT CIRCLE

被引：0
|
作者：
Bahadur, S. [1 ]
Varun [1 ]
机构：
[1] Univ Lucknow, Fac Sci, Dept Math & Astron, Lucknow, Uttar Pradesh, India
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2024年 / 14卷 / 03期
关键词：
Unit circle; Non-uniform nodes; Jacobi Polynomial; Rate of Convergence; Lagrange Interpolation; Hermite-Fejer interpolation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 +/- 1. 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.
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页码：1048 / 1057
页数：10
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