Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials

Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials

We consider the problem of the approximation of functions, continuous on the semiaxis and for which the derivatives , exist at the point , by the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials.

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Veröffentlicht in:Mathematical Notes 2021-09, Vol.110 (3-4), p.475-488
Hauptverfasser: Gadzhimirzaev, R. M., Shakh-Émirov, T. N.
Format: Artikel
Sprache:eng
Schlagworte:
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Approximation
Continuity (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Sums
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Beschreibung
Zusammenfassung:We consider the problem of the approximation of functions, continuous on the semiaxis and for which the derivatives , exist at the point , by the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434621090182