TY - JOUR T1 - Fourier-Chebyshev Coefficients and Gauss-Turán Quadrature with Chebyshev Weight 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.