caa a22 4500 605523738 CHVBK 20210128100751.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10958-015-2571-6 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2571-6 Adaptive Spline-Wavelet Processing of a Discrete Flow [Elektronische Daten] [Yu. Dem'yanovich, A. Ponomareva] 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. Springer Science+Business Media New York, 2015 Dem'yanovich Yu St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia aut Ponomareva A. St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/4(2015-10-01), 371-390 1072-3374 210:4<371 2015 210 10958 https://doi.org/10.1007/s10958-015-2571-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2571-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dem'yanovich Yu St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Ponomareva A. St. Petersburg State University, 28, Universitetskii pr., Petrodvorets, 198504, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 210/4(2015-10-01), 371-390 1072-3374 210:4<371 2015 210 10958