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Approximation Properties of Chebyshev Polynomials in the Legendre Norm.
- Source :
-
Mathematics (2227-7390) . Dec2021, Vol. 9 Issue 24, p3271-3271. 1p. - Publication Year :
- 2021
-
Abstract
- 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 considered, respectively. The approximation results in Legendre norm rather than in the Chebyshev weighted norm are given, which play a fundamental role in numerical analysis of the Legendre–Chebyshev spectral method. These results are also useful in Clenshaw–Curtis quadrature which is based on sampling the integrand at Chebyshev points. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CHEBYSHEV polynomials
*CHEBYSHEV approximation
*NUMERICAL analysis
*INTERPOLATION
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 24
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 154397310
- Full Text :
- https://doi.org/10.3390/math9243271