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2018 Optimal Rational Approximations by the Modified Fourier Basis
Arnak V. Poghosyan, Tigran K. Bakaryan
Abstr. Appl. Anal. 2018: 1-21 (2018). DOI: 10.1155/2018/1705409


We consider convergence acceleration of the modified Fourier expansions by rational trigonometric corrections which lead to modified-trigonometric-rational approximations. The rational corrections contain some unknown parameters and determination of their optimal values for improved pointwise convergence is the main goal of this paper. The goal was accomplished by deriving the exact constants of the asymptotic errors of the approximations with further elimination of the corresponding main terms by appropriate selection of those parameters. Numerical experiments outline the convergence improvement of the optimal rational approximations compared to the expansions by the modified Fourier basis.


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Arnak V. Poghosyan. Tigran K. Bakaryan. "Optimal Rational Approximations by the Modified Fourier Basis." Abstr. Appl. Anal. 2018 1 - 21, 2018.


Received: 18 October 2017; Accepted: 20 February 2018; Published: 2018
First available in Project Euclid: 8 May 2018

zbMATH: 06929577
MathSciNet: MR3786303
Digital Object Identifier: 10.1155/2018/1705409

Rights: Copyright © 2018 Hindawi

Vol.2018 • 2018
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