On a Convergence of Modified Fourier-Pade Approximations

We consider convergence acceleration of the modified Fourier expansions by trigonometric-rational corrections which lead to modified Fourier-Pade approximations. Exact constants of the asymptotic errors are derived for smooth functions and comparison with the corresponding errors of the modified Fo...

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Bibliographic Details
Main Author: Tigran Bakaryan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2016-12-01
Series:Armenian Journal of Mathematics
Online Access:http://www.armjmath.sci.am/index.php/ajm/article/view/4
Description
Summary:We consider convergence acceleration of the modified Fourier expansions by trigonometric-rational corrections which lead to modified Fourier-Pade approximations. Exact constants of the asymptotic errors are derived for smooth functions and comparison with the corresponding errors of the modified Fourier expansions is performed.
ISSN:1829-1163