Adaptive Spline-Wavelet Processing of a Discrete Flow
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| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2571-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2571-6 | ||
| 245 | 0 | 0 | |a Adaptive Spline-Wavelet Processing of a Discrete Flow |h [Elektronische Daten] |c [Yu. Dem'yanovich, A. Ponomareva] |
| 520 | 3 | |a We propose adaptive algorithms for constructing a spline-wavelet decomposition that provides an a priori given estimate for deviation of the main flow from the initial one. We introduce the notions of a pseudouniform grid and an adaptive type grid. We establish difference representations of the deviation of the main flows from the initial one. We estimate volumes of data used in the main flow under different characteristics of irregularity of the initial flow in the cases of a pseudouniform grid and an adaptive type grid under the same approximation. We also clarify the limit characteristics of these volumes in the case where the initial flow is generated by a differentiable function. Bibliography: 5 titles. | |
| 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 Ponomareva |D A. |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 210/4(2015-10-01), 371-390 |x 1072-3374 |q 210:4<371 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2571-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 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/s10958-015-2571-6 |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 Ponomareva |D A. |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 210/4(2015-10-01), 371-390 |x 1072-3374 |q 210:4<371 |1 2015 |2 210 |o 10958 | ||