Asymptotic expansion of Fourier coefficients associated to functions with low continuity

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摘要

The aim of this paper is to give the asymptotic expansion of the coefficients in the Chebyshev series expansion of a function possessing algebraic or logarithmic interior singularities. Some numerical examples are given.

论文关键词:Asymptotic expansion,Chebyshev series,Orthogonal polynomials

论文评审过程:Received 4 February 1999, Available online 24 January 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00190-9