Natural Science, Mathematics, 2025
On a Convergence of The ModifiedFourier-Pade Approximations
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Submitted: 2024-12-18; Published: 2024-12-18
© 2024 by author(s) and The Gufo Inc.
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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.