Jackson-Type Inequalities in the Spaces~$S^{(p,q)}(\sigma^{m-1})$

R. A. Lasuriya

Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 724-739.

Résumé

In the case of approximation of functions by using linear methods of summation of their Fourier–Laplace series in the spaces $S^{(p,q)}(\sigma^{m-1})$, $m\ge 3$, for classes of functions defined by transformations of their Fourier–Laplace series using multipliers, Jackson-type inequalities are established in terms of operators which are also defined by the corresponding transformations of the Fourier–Laplace series.

Détail

Keywords: Fourier–Laplace series, linear summation methods, best approximations
Mots-clés : convolution.

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