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.