Generalized Gaussian Quadrature Formulas Based on Chebyshev Nodes with Explicit Coefficients  

作　　者：CAO Li-hua ZHAO Yi 

机构地区：[1]College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第2期300-305,共6页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（10571121）; Supported by the Natural Science Foundation of Guangdong Province（5010509）

摘　　要：The goal here is to give a simple approach to a quadrature formula based on the divided diffierences of the integrand at the zeros of the nth Chebyshev polynomial of the first kind,and those of the(n-1)st Chebyshev polynomial of the second kind.Explicit expressions for the corresponding coefficients of the quadrature rule are also found after expansions of the divided diffierences,which was proposed in[14].The goal here is to give a simple approach to a quadrature formula based on the divided diffierences of the integrand at the zeros of the nth Chebyshev polynomial of the first kind,and those of the（n-1）st Chebyshev polynomial of the second kind.Explicit expressions for the corresponding coefficients of the quadrature rule are also found after expansions of the divided diffierences,which was proposed in[14].

关 键 词：quadrature formula expansions of divided diffierences Chebyshev nodes 

分 类 号：O174.41[理学—数学]