Geodesic
Jackson-Type Inequalities in the Spaces~$S^{(p,q)}(\sigma^{m-1})$
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 724-739

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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.
Keywords: Fourier–Laplace series, linear summation methods, best approximations
Mots-clés : convolution. 
@article{MZM_2019_105_5_a6,
     author = {R. A. Lasuriya},
     title = {Jackson-Type {Inequalities} in the {Spaces~}$S^{(p,q)}(\sigma^{m-1})$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {724--739},
     publisher = {mathdoc},
     volume = {105},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a6/}
}
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R. A. Lasuriya. Jackson-Type Inequalities in the Spaces~$S^{(p,q)}(\sigma^{m-1})$. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 724-739. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a6/