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Optimal Rational Approximations by the Modified Fourier Basis
Joint Authors
Bakaryan, Tigran K.
Poghosyan, Arnak
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-01
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Poghosyan, Arnak& Bakaryan, Tigran K.. 2018. Optimal Rational Approximations by the Modified Fourier Basis. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1114249
Modern Language Association (MLA)
Poghosyan, Arnak& Bakaryan, Tigran K.. Optimal Rational Approximations by the Modified Fourier Basis. Abstract and Applied Analysis No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1114249
American Medical Association (AMA)
Poghosyan, Arnak& Bakaryan, Tigran K.. Optimal Rational Approximations by the Modified Fourier Basis. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1114249
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114249