Armenian Journal of Mathematics, 4(2)
2013; 80–97
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On some optimizations of trigonometric interpolationusing Fourier discrete coefficients

Arnak Poghosyan*

Received: 2024-12-19 · Published: 2013-03-17

© 2013 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
On some optimizations of trigonometric interpolationusing Fourier discrete coefficients
Author
Arnak Poghosyan
Source journal
Armenian Journal of Mathematics, 4(2)
Published
2013-03-17
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/86

Abstract

We investigate convergence of the rational-trigonometric-polynomial interpolations whichperform convergence acceleration of the classical trigonometric interpolation by sequentialapplication of polynomial and rational corrections. Rational corrections contain unknownparameters which determination outlines the behavior of the interpolations in different frame-works. We consider approach for determination of the unknown parameters by minimizationof the constants of the asymptotic errors. We perform theoretical and numerical analysis ofsuch optimal interpolations.
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