Approximation Properties of Chebyshev Polynomials in the Legendre Norm

Approximation Properties of Chebyshev Polynomials in the Legendre Norm

In this paper, we present some important approximation properties of Chebyshev polynomials in the Legendre norm. We mainly discuss the Chebyshev interpolation operator at the Chebyshev–Gauss–Lobatto points. The cases of single domain and multidomain for both one dimension and multi-dimensions are co...

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Bibliographic Details
Main Authors: Cuixia Niu, Huiqing Liao, Heping Ma, Hua Wu
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
Chebyshev polynomials
Chebyshev interpolation operator
the Legendre norm
Legendre–Chebyshev spectral method
Clenshaw–Curtis quadrature
multidomain
Online Access:https://www.mdpi.com/2227-7390/9/24/3271

Internet

https://www.mdpi.com/2227-7390/9/24/3271

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