Armenian Journal of Mathematics, 8(2)
2016; 120–144
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On a Convergence of The ModifiedFourier-Pade Approximations

Tigran Bakaryan*

Received: 2024-12-18 · Published: 2016-12-23

© 2016 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
On a Convergence of The ModifiedFourier-Pade Approximations
Author
Tigran Bakaryan
Source journal
Armenian Journal of Mathematics, 8(2)
Published
2016-12-23
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/4

Abstract

We consider convergence acceleration of the modifiedFourier expansions by trigonometric-rational corrections whichlead to the modified Fourier-Pade approximations. Exact con-stants of the asymptotic errors are derived for smooth functionsand the comparison with the corresponding errors of the modifiedFourier expansions is performed
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