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 |
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| container_title | Mathematical Notes |
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| creator | Gadzhimirzaev, R. M. Shakh-Émirov, T. N. |
| description | 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. |
| doi_str_mv | 10.1134/S0001434621090182 |
| format | Article |
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,
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,
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| subjects | 14/34 639/766/189 639/766/530 639/766/747 Approximation Continuity (mathematics) Mathematical analysis Mathematics Mathematics and Statistics Polynomials Sums |
| title | Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials |
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