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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 5, Pages 155–174 (Mi fpm1547)  
This article is cited in 6 scientific papers (total in 6 papers)

On best harmonic synthesis of periodic functions

G. G. Magaril-Il'yaevab, K. Yu. Osipenkocd

a Lomonosov Moscow State University, Moscow, Russia
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
c South Mathematical Institute of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia
d Moscow State Aviation Technological University, Moscow, Russia
Full-text PDF (206 kB) Citations (6)
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Abstract: In this paper, we construct optimal methods of recovery of periodic functions from a known (exact or inexact) finite family of their Fourier coefficients. The proposed approach to constructing recovery methods is compared with the approach based on the Tikhonov regularization method.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 1, Pages 115–129
DOI: https://doi.org/10.1007/s10958-015-2489-z
Bibliographic databases:
Document Type: Article
UDC: 517.984.64
Language: Russian
Citation: G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On best harmonic synthesis of periodic functions”, Fundam. Prikl. Mat., 18:5 (2013), 155–174; J. Math. Sci., 209:1 (2015), 115–129
Citation in format AMSBIB
\Bibitem{MagOsi13}
\by G.~G.~Magaril-Il'yaev, K.~Yu.~Osipenko
\paper On best harmonic synthesis of periodic functions
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 5
\pages 155--174
\mathnet{http://mi.mathnet.ru/fpm1547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431850}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 209
\issue 1
\pages 115--129
\crossref{https://doi.org/10.1007/s10958-015-2489-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84938293000}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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