On some quasi-periodic approximations

Armenian Journal of Mathematics

View Publication Info
 
 
Field Value
 
Title On some quasi-periodic approximations
 
Creator Poghosyan, Arnak
Poghosyan, Lusine
Barkhudaryan, Rafayel
 
Subject Fourier series
trigonometric interpolation
convergence acceleration
quasi-periodic approximation
quasi-periodic interpolation
42A10
42A15
65T40
 
Description Trigonometric approximation or interpolation of a non-smooth function on a finite interval has poor convergence properties. This is especially true for discontinuous functions. The case of infinitely differentiable but non-periodic functions with discontinuous periodic extensions onto the real axis has attracted interest from many researchers. In a series of works, we discussed an approach based on quasi-periodic trigonometric basis functions whose periods are slightly bigger than the length of the approximation interval. We proved validness of the approach for trigonometric interpolations. In this paper, we apply those ideas to classical Fourier expansions.
 
Publisher National Academy of Sciences of Armenia
 
Date 2020-10-30
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://armjmath.sci.am/index.php/ajm/article/view/460
 
Source Armenian Journal of Mathematics; Vol. 12 No. 10 (2020): On some quasi-periodic approximations; 1-27
1829-1163
 
Language eng
 
Relation http://armjmath.sci.am/index.php/ajm/article/view/460/163
 
Rights Copyright (c) 2020 Armenian Journal of Mathematics
http://creativecommons.org/licenses/by/4.0
 

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