Mean convergence of Grünwald interpolation operators

Zhixiong Chen

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-13

Abstract:

We investigate weighted L p mean convergence of Grünwald interpolation operators based on the zeros of orthogonal polynomials with respect to a general weight and generalized Jacobi weights. We give necessary and sufficient conditions for such convergence for all continuous functions.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:898792

DOI: 10.1155/S0161171203211091

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