On some optimizations of trigonometric interpolation using Fourier discrete coefficients

On some optimizations of trigonometric interpolation using Fourier discrete coefficients

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We investigate convergence of the rational-trigonometric-polynomial interpolations which perform convergence acceleration of the classical trigonometric interpolation by sequential application of polynomial and rational corrections. Rational corrections contain unknown parameters which determinatio...

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Main Author: Arnak Poghosyan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2013-03-01
Series:Armenian Journal of Mathematics
Online Access:http://www.armjmath.sci.am/index.php/ajm/article/view/86
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spelling doaj-17ad8c7a91114d5886f43acfe70a54ec2020-11-24T21:58:16ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632013-03-0142On some optimizations of trigonometric interpolation using Fourier discrete coefficientsArnak Poghosyan0Institute of Mathematics, National Academy of Sciences of Armenia Bagramian ave. 24b, 0019 Yerevan, Armenia We investigate convergence of the rational-trigonometric-polynomial interpolations which perform convergence acceleration of the classical trigonometric interpolation by sequential application of polynomial and rational corrections. Rational corrections contain unknown parameters which determination outlines the behavior of the interpolations in different frameworks. We consider approach for determination of the unknown parameters by minimization of the constants of the asymptotic errors. We perform theoretical and numerical analysis of such optimal interpolations. http://www.armjmath.sci.am/index.php/ajm/article/view/86
collection DOAJ
language English
format Article
sources DOAJ
author Arnak Poghosyan
spellingShingle Arnak Poghosyan
On some optimizations of trigonometric interpolation using Fourier discrete coefficients
Armenian Journal of Mathematics
author_facet Arnak Poghosyan
author_sort Arnak Poghosyan
title On some optimizations of trigonometric interpolation using Fourier discrete coefficients
title_short On some optimizations of trigonometric interpolation using Fourier discrete coefficients
title_full On some optimizations of trigonometric interpolation using Fourier discrete coefficients
title_fullStr On some optimizations of trigonometric interpolation using Fourier discrete coefficients
title_full_unstemmed On some optimizations of trigonometric interpolation using Fourier discrete coefficients
title_sort on some optimizations of trigonometric interpolation using fourier discrete coefficients
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2013-03-01
description We investigate convergence of the rational-trigonometric-polynomial interpolations which perform convergence acceleration of the classical trigonometric interpolation by sequential application of polynomial and rational corrections. Rational corrections contain unknown parameters which determination outlines the behavior of the interpolations in different frameworks. We consider approach for determination of the unknown parameters by minimization of the constants of the asymptotic errors. We perform theoretical and numerical analysis of such optimal interpolations.
url http://www.armjmath.sci.am/index.php/ajm/article/view/86
work_keys_str_mv AT arnakpoghosyan onsomeoptimizationsoftrigonometricinterpolationusingfourierdiscretecoefficients
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