Geodesic
Approximation Properties of the Vall\'ee-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials
Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 483-497

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We consider the problem of the approximation of functions, continuous on the semiaxis $[0,\infty)$ and for which the derivatives $f^{(\nu)}(0)$, $\nu=0,\dots,r-1$ exist at the point $x=0$, by the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials.
Mots-clés : Laguerre polynomials
Keywords: special series, approximation properties, Vallée-Poussin means. 
@article{MZM_2021_110_4_a0,
     author = {R. M. Gadzhimirzaev and T. N. Shakh-Emirov},
     title = {Approximation {Properties} of the {Vall\'ee-Poussin} {Means} of {Partial} {Sums} of a {Special} {Series} in {Laguerre} {Polynomials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--497},
     publisher = {mathdoc},
     volume = {110},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_4_a0/}
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R. M. Gadzhimirzaev; T. N. Shakh-Emirov. Approximation Properties of the Vall\'ee-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials. Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 483-497. http://geodesic.mathdoc.fr/item/MZM_2021_110_4_a0/