Adaptive Properties of Spline-Wavelet Approximation

Verfasser / Beitragende:
[Yu. Dem'yanovich, M. Anolik, O. Ivantsova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/2(2015-05-01), 176-194
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2364-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2364-y 
245 0 0 |a Adaptive Properties of Spline-Wavelet Approximation  |h [Elektronische Daten]  |c [Yu. Dem'yanovich, M. Anolik, O. Ivantsova] 
520 3 |a We propose an algorithm for approximating functions, based on the spline-wavelet decomposition associated with an adaptive nonuniform grid. Under certain conditions, this algorithm turns out to be is more effective than the spline-wavelet algorithm on a uniform grid. We establish the stability of the algorithm. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Dem'yanovich  |D Yu  |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia  |4 aut 
700 1 |a Anolik  |D M.  |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia  |4 aut 
700 1 |a Ivantsova  |D O.  |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 176-194  |x 1072-3374  |q 207:2<176  |1 2015  |2 207  |o 10958 
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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 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2364-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dem'yanovich  |D Yu  |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Anolik  |D M.  |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ivantsova  |D O.  |u St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/2(2015-05-01), 176-194  |x 1072-3374  |q 207:2<176  |1 2015  |2 207  |o 10958