On a Convergence of The ModifiedFourier-Pade Approximations

Author(s)

On a Convergence of The ModifiedFourier-Pade Approximations Tigran Bakaryan

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

DOI: https://armjmath.sci.am/index.php/ajm/article/view/4 Armenian Journal of Mathematics, 8(2) 120-144

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Keywords

Modified Fourier Expansion, Convergence Acceleration, Ratio-nal Approximation

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