Zobrazeno 1 - 6
of 6
pro vyhledávání: '"O. N. Ivantsova"'
Publikováno v:
2020 24th International Conference on Circuits, Systems, Communications and Computers (CSCC).
One of the approaches to the problem of approximating functions with a singularity is the creation of an approximating apparatus based on splines with the same feature. For spline-wavelet decomposition of spline spaces it is important that the proper
Publikováno v:
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019.
Publikováno v:
Journal of Mathematical Sciences. 228:639-654
We consider integer spline-wavelet algorithms for processing digital flows. We obtain integer variants of the decomposition and reconstruction formulas and give an example demonstrating the practical realizability of the proposed algorithms.
Publikováno v:
Journal of Mathematical Sciences. 219:936-958
We obtain sufficient positivity conditions for continuously differentiable minimal coordinate splines of the second order in a general case. These conditions are used for constructing positive exponential continuously differentiable coordinate spline
Publikováno v:
Journal of Mathematical Sciences. 207:176-194
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 o
Autor:
Yu. K. Dem’yanovich, O. N. Ivantsova
Publikováno v:
Journal of Mathematical Sciences. 167:358-393
New representations of the decomposition and reconstruction operators are obtained in the cases of an infinite flow (with a grid on an open interval) and a finite flow (with a grid on a segment) for the space of (in general, not polynomial) splines o