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}
}
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 $S^pH_\omega$. 
Ja n 20 19 Approximation theorems for multivariate
  • 2019
Approximation theorems for multivariate

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