This article is cited in 1 paper

On reconstruction of multiplicative transformations of functions in anisotropic spaces

E. D. Nursultanov^ab, N. T. Tleukhanova<sup>b

a</sup> 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.

UDC: 517.5

Received: 02.04.2012
Revised: 02.07.2013

 English version: Siberian Mathematical Journal, 2014, 55:3, 482–497

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