# Approximation of functions of several variables by linear methods in the space $S^p$

@article{Savchuk2014ApproximationOF,
title={Approximation of functions of several variables by linear methods in the space \$S^p\$},
author={V. Savchuk and A. L. Shidlich},
journal={Acta Scientiarum Mathematicarum},
year={2014},
volume={80},
pages={477-489}
}
• Published 2014
• Mathematics
• Acta Scientiarum Mathematicarum
In the spaces $S^p$ of functions of several variables, $2\pi$-periodic in each variable, we study the approximative properties of operators $A^\vartriangle_{\varrho,r}$ and $P^\vartriangle_{\varrho,s}$, which generate two summation methods of multiple Fourier series on triangular regions. In particular, in the terms of approximation estimates of these operators, we give a constructive description of classes of functions, whose generalized derivatives belong to the classes $S^pH_\omega$.
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