Starting from a natural generalization of the trigonometric case, we construct a de la Vall\'ee Poussin approximation process in the uniform and L1 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.
Generalized de la Vallée Poussin operators for Jacobi weights
W Themistoclakis
2006
Abstract
Starting from a natural generalization of the trigonometric case, we construct a de la Vall\'ee Poussin approximation process in the uniform and L1 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.File in questo prodotto:
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