On a Convergence of The ModifiedFourier-Pade Approximations

Tigran Bakaryan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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