On the summability of weighted Lagrange interpolation on the roots of Jacobi polynomials

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作者
L. Szili
机构
[1] Loránd Eötvös University,Department of Numerical Analysis
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关键词
uniform convergence; Jacobi weights; weighted approximation; weighted interpolation; summations;
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摘要
The aim of this paper is to investigate the summability of weighted Lagrange interpolation on the roots of Jacobi polynomials. Starting from the Lagrange interpolation polynomials, we shall construct a wide class of discrete processes which are uniformly convergent in a suitable weighted space of continuous functions. Error estimates for the approximation will also be considered.
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页码:209 / 231
页数:22
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