A note on mean convergence of Lagrange interpolation in Lp(0
作者：
Highlights：
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摘要
Let w≔exp(−Q), where Q is of faster than smooth polynomial growth at ∞, for example, wk,α(x)≔exp(−expk(|x|α)),α>1. We obtain a necessary and sufficient condition for mean convergence of Lagrange interpolation for such weights in Lp(0
论文关键词：41A10,42C05,Erdős weight,Lagrange interpolation,Mean convergence,Orthonormal polynomial,Weighted approximation
论文评审过程：Received 18 February 2000, Available online 3 August 2001.
论文官网地址：https://doi.org/10.1016/S0377-0427(00)00650-6
作者：
Highlights：
•
摘要
Let w≔exp(−Q), where Q is of faster than smooth polynomial growth at ∞, for example, wk,α(x)≔exp(−expk(|x|α)),α>1. We obtain a necessary and sufficient condition for mean convergence of Lagrange interpolation for such weights in Lp(0
论文关键词：41A10,42C05,Erdős weight,Lagrange interpolation,Mean convergence,Orthonormal polynomial,Weighted approximation
论文评审过程：Received 18 February 2000, Available online 3 August 2001.
论文官网地址：https://doi.org/10.1016/S0377-0427(00)00650-6
