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On reconstruction of multiplicative transformations of functions in anisotropic spaces
E. D. Nursultanovab, N. T. Tleukhanovab a Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan
b Eurasian National University, Astana, Kazakhstan
Abstract:
We construct a reconstruction operator for multiplicative transformations of functions in anisotropic spaces from their values at a given number of points. We show that the error of the reconstruction of a function in $W^\alpha_p$ coincides in order with the corresponding orthodiameter.
Keywords:
operator of reconstruction of functions, space with dominating mixed derivative, orthodiameter.
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Siberian Mathematical Journal, 2014, 55:3, 482–497
Bibliographic databases:
UDC:
517.5 Received: 02.04.2012 Revised: 02.07.2013
Citation:
E. D. Nursultanov, N. T. Tleukhanova, “On reconstruction of multiplicative transformations of functions in anisotropic spaces”, Sibirsk. Mat. Zh., 55:3 (2014), 592–609; Siberian Math. J., 55:3 (2014), 482–497
Citation in format AMSBIB
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\pages 482--497
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http://mi.mathnet.ru/eng/smj2556 http://mi.mathnet.ru/eng/smj/v55/i3/p592
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