Reproducing Poussin

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Generalized De La Vallée Poussin Operators for Jacobi Weights

Starting from a natural generalization of the trigonometric case, we construct a de la Vallée Poussin approximation process in the uniform and L norms. With respect to the classical approach we obtain the convergence for a wider class of Jacobi weights. Even if we only consider the Jacobi case, our construction is very general and can be extended to other classes of weights.

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ژورنال

عنوان ژورنال: RACAR : Revue d'art canadienne

سال: 1996

ISSN: 0315-9906,1918-4778

DOI: 10.7202/1073292ar