2013•DOAJ (DOAJ: Directory of Open Access Journals)Open access

On some optimizations of trigonometric interpolation using Fourier discrete coefficients

Arnak Poghosyan

Abstract

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.

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Key concepts: Trigonometric interpolation, Trigonometric polynomial, Mathematics, Interpolation (computer graphics), Trigonometry, Polynomial interpolation, Applied mathematics, Convergence (economics)