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.
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Dedicated to Nina Nikolaevna Uraltseva
Translated from Problemy Matematicheskogo Analiza 78, January 2015, pp. 57-73.
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Dem’yanovich, Y.K., Anolik, M.V. & Ivantsova, O.N. Adaptive Properties of Spline-Wavelet Approximation. J Math Sci 207, 176–194 (2015). https://doi.org/10.1007/s10958-015-2364-y
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DOI: https://doi.org/10.1007/s10958-015-2364-y