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Volume 21, Issue 2
Fourier-Chebyshev Coefficients and Gauss-Turán Quadrature with Chebyshev Weight

Shijun Yang & Xinghua Wang

J. Comp. Math., 21 (2003), pp. 189-194.

Published online: 2003-04

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  • Abstract
 The main purpose of this paper is to derive an explicit expression for Fourier-Chebyshev coefficient $A_{kn}(f)=\frac{\displaystyle 2}{\displaystyle\pi}\int_{-1}^1f(x)T_{kn}(x)\frac{\displaystyle dx}{\displaystyle \sqrt{1-x^2}},k,n\in N_0$, which is initiated by L. Gori and C. A. Micchelli.
  • Keywords

Fourier-Chebyshev coefficient, Gauss-Turán quadrature.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-189, author = {Shijun Yang and Xinghua Wang}, title = {Fourier-Chebyshev Coefficients and Gauss-Turán Quadrature with Chebyshev Weight}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {2}, pages = {189--194}, abstract = {  The main purpose of this paper is to derive an explicit expression for Fourier-Chebyshev coefficient $A_{kn}(f)=\frac{\displaystyle 2}{\displaystyle\pi}\int_{-1}^1f(x)T_{kn}(x)\frac{\displaystyle dx}{\displaystyle \sqrt{1-x^2}},k,n\in N_0$, which is initiated by L. Gori and C. A. Micchelli. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10272.html} }
TY - JOUR T1 - Fourier-Chebyshev Coefficients and Gauss-Turán Quadrature with Chebyshev Weight AU - Shijun Yang & Xinghua Wang JO - Journal of Computational Mathematics VL - 2 SP - 189 EP - 194 PY - 2003 DA - 2003/04 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10272.html KW - Fourier-Chebyshev coefficient, Gauss-Turán quadrature. AB -  The main purpose of this paper is to derive an explicit expression for Fourier-Chebyshev coefficient $A_{kn}(f)=\frac{\displaystyle 2}{\displaystyle\pi}\int_{-1}^1f(x)T_{kn}(x)\frac{\displaystyle dx}{\displaystyle \sqrt{1-x^2}},k,n\in N_0$, which is initiated by L. Gori and C. A. Micchelli.
Shijun Yang and Xinghua Wang. (2003). Fourier-Chebyshev Coefficients and Gauss-Turán Quadrature with Chebyshev Weight. Journal of Computational Mathematics. 21 (2). 189-194. doi:
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