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Yu. K. Dem’yanovich

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Yu. K. Dem’yanovich

WSEAS Transactions on Mathematics

Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

General Flows and their Adaptive Decompositions

AUTHORS: Yu. K. Dem’yanovich

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ABSTRACT: Adaptive algorithms of spline-wavelet decomposition in a linear space over metrized field are proposed. The algorithms provide a priori given estimate of the deviation of the main flow from the initial one. Comparative estimates of data of the main flow under different characteristics of the irregularity of the initial flow are done. The limiting characteristics of data, when the initial flow is generated by abstract differentiable functions, are discussed

KEYWORDS: signal processing, main flows, adaptive spline-wavelets, general flows


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[19] Yu.K.Dem’yanovich, A.Yu.Ponomareva, Adaptive Spline-Wavelet Processing of a Discrete Flow, J. of Math. Sci. 210, 2015, pp. 371–390.

[20] Yu.K.Dem’yanovich, A.S.Ponomarev, On Realization of the Spline-Wavelet Decomposition of the First Order, J. of Math. Sci. 224, 2017, pp. 833–860.

[21] Yu.K.Dem’yanovich, On Embedding and Extended Smoothness of Spline Spaces, Far East Journal of Mathematical Sciences (FJMS) 102,2017, pp. 2025–2052.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #5, pp. 28-34

Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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