Geodesic
Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 452-471 Cet article a éte moissonné depuis la source Math-Net.Ru

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We estimate the order of weighted approximations of functions and their derivatives by using the means of mixed series of Legendre polynomials. As the main result, we obtain estimates of the order of approximation of a function and its derivatives by the Vallée-Poussin means and their derivatives.
Keywords: approximation of functions
Mots-clés : Legendre polynomial, Fourier–Legendre series, Vallée-Poussin means, Jacobi polynomial, Hermite interpolation polynomial. 
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     author = {I. I. Sharapudinov},
     title = {Approximation {Properties} of the {Vall\'ee-Poussin} {Means} of {Partial} {Sums} of a {Mixed} {Series} of {Legendre} {Polynomials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {452--471},
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I. I. Sharapudinov. Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials. Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 452-471. http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a11/

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