On a Convergence of Modified Fourier-Pade Approximations

On a Convergence of Modified Fourier-Pade Approximations

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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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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
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spelling doaj-bd0e02b8b3e7448ebdee0dbbb31b98962020-11-24T23:22:34ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632016-12-0182On a Convergence of Modified Fourier-Pade ApproximationsTigran Bakaryan0Institute of Mathematics of NAS RA 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. http://www.armjmath.sci.am/index.php/ajm/article/view/4
collection DOAJ
language English
format Article
sources DOAJ
author Tigran Bakaryan
spellingShingle Tigran Bakaryan
On a Convergence of Modified Fourier-Pade Approximations
Armenian Journal of Mathematics
author_facet Tigran Bakaryan
author_sort Tigran Bakaryan
title On a Convergence of Modified Fourier-Pade Approximations
title_short On a Convergence of Modified Fourier-Pade Approximations
title_full On a Convergence of Modified Fourier-Pade Approximations
title_fullStr On a Convergence of Modified Fourier-Pade Approximations
title_full_unstemmed On a Convergence of Modified Fourier-Pade Approximations
title_sort on a convergence of modified fourier-pade approximations
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2016-12-01
description 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.
url http://www.armjmath.sci.am/index.php/ajm/article/view/4
work_keys_str_mv AT tigranbakaryan onaconvergenceofmodifiedfourierpadeapproximations
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