On Best Harmonic Synthesis of Periodic Functions

Verfasser / Beitragende:
[G. Magaril-Il'yaev, K. Osipenko]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/1(2015-08-01), 115-129
Format:
Artikel (online)
ID: 605525692
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024 7 0 |a 10.1007/s10958-015-2489-z  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2489-z 
245 0 0 |a On Best Harmonic Synthesis of Periodic Functions  |h [Elektronische Daten]  |c [G. Magaril-Il'yaev, K. Osipenko] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Magaril-Il'yaev  |D G.  |u Moscow State University, Moscow, Russia  |4 aut 
700 1 |a Osipenko  |D K.  |u Moscow State Aviation Technological University, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/1(2015-08-01), 115-129  |x 1072-3374  |q 209:1<115  |1 2015  |2 209  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2489-z  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2489-z  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Magaril-Il'yaev  |D G.  |u Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Osipenko  |D K.  |u Moscow State Aviation Technological University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/1(2015-08-01), 115-129  |x 1072-3374  |q 209:1<115  |1 2015  |2 209  |o 10958