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.
引用
收藏
页码：1048 / 1057
页数：10
相关论文
共 45 条
  • [31] Gibbs-Wilbraham oscillation related to an Hermite interpolation problem on the unit circle
    Berriochoa, E.
    Cachafeiro, A.
    Garcia Amor, J. M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 344 : 657 - 675
  • [32] Gibbs phenomenon in the Hermite interpolation on the circle
    Berriochoa, E.
    Cachafeiro, A.
    Diaz, J.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 253 : 274 - 286
  • [33] An interpolation problem on the circle between Lagrange and Hermite problems
    Berriochoa, E.
    Cachafeiro, A.
    Garcia Amor, J. M.
    JOURNAL OF APPROXIMATION THEORY, 2017, 215 : 118 - 144
  • [34] ON THE SATURATION OF Lwp-APPROXIMATION BY （O-q'-q） TYPE HERMITE-FEJER INTERPOLATING POLYNOMIALS
    Li Jiangbo (Lishui Teachers ’College
    Analysis in Theory and Applications, 2004, (03) : 252 - 264
  • [35] EXPLICIT FORMULAS FOR HERMITE-TYPE INTERPOLATION ON THE CIRCLE AND APPLICATIONS
    Berriochoa, Elias
    Cachafeiro, Alicia
    Diaz, Jaime
    Illan, Jesus
    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2015, 44 : 140 - 152
  • [36] Coefficients of Orthogonal Polynomials on the Unit Circle and Higher-Order Szego Theorems
    Leonid Golinskii
    Andrej Zlatos
    Constructive Approximation, 2007, 26 : 361 - 382
  • [37] Hermite interpolation on the unit sphere and limits of Lagrange projectors
    Phung Van Manh
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 41 (02) : 1441 - 1464
  • [38] Some results about interpolation with nodes on the unit circle
    Daruis, L
    González-Vera, P
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (10): : 1273 - 1296
  • [39] Polynomial interpolation and Marcinkiewicz-Zygmund inequalities on the unit circle
    Chui, CK
    Zhong, LF
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (01) : 387 - 405
  • [40] Interpolation formulas for 1-harmonic functions on the unit circle
    Djukic, D. Lj.
    Mutavdzic, N. M.
    Djukic, R. M. Mutavdzic
    FILOMAT, 2024, 38 (03) : 1135 - 1142
12345