Year: 2024
Author: Xianru Chen, Li Lin
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 3 : pp. 569–588
Abstract
In this paper, we study the Jacobi frame approximation with equispaced samples and derive an error estimation. We observe numerically that the approximation accuracy gradually decreases as the extended domain parameter $\gamma$ increases in the uniform norm, especially for differentiable functions. In addition, we show that when the indexes of Jacobi polynomials $α$ and $β$ are larger (for example max$\{α,β\} > 10$), it leads to a divergence behavior on the frame approximation error decay.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0071
Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 3 : pp. 569–588
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Jacobi polynomial frame oversampled collocation equispaced sample.