Armenian Journal of Mathematics, 5(1)
2013; 1–25
Shared with The Gufo

On a convergence of the Fourier-Pade interpolation

Arnak Poghosyan*

Received: 2024-12-19 · Published: 2013-07-17

© 2013 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
On a convergence of the Fourier-Pade interpolation
Author
Arnak Poghosyan
Source journal
Armenian Journal of Mathematics, 5(1)
Published
2013-07-17
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/14

Abstract

We investigate convergence of the rational-trigonometric-polynomial interpolation thatperforms convergence acceleration of the classical trigonometric interpolation by sequentialapplication of polynomial and rational correction functions. Unknown parameters of the ra-tional corrections are determined along the ideas of the Fourier-Pade approximations. Theresultant interpolation we call as Fourier-Pade interpolation and investigate its convergencein the regions away from the endpoints. Comparison with other rational-trigonometric-polynomial interpolations outlines the convergence properties of the Fourier-Pade interpola-tion.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates