文献类型：期刊文献

英文题名：The Convergence Rate on a Quadrature of a Fourier Integral with Symmetrical Jacobi Weight for an Analytical Function

作者：Zhou, Yongxiong[1];Chen, Ruyun[1]

机构：[1]Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang 524088, Peoples R China

年份：2022

卷号：14

期号：6

外文期刊名：SYMMETRY-BASEL

收录：SCI-EXPANDED(收录号：WOS:000815881900001)、、Scopus(收录号：2-s2.0-85132591135)、WOS

基金：This work was supported by the Natural Science Foundation of Guangdong Province of China (No.2022A1515010419) and the Educational Commission of Guangdong Province of China (No.2020KTSCX049).

语种：英文

外文关键词：convergence rate; analytical function; quadrature; Fourier integral; Bessel function

外文摘要：In this paper, through complex analysis, the convergence rate is given on a quadrature of a Fourier integral with symmetrical Jacobi weight. The interpolation nodes of this quadrature formula are expressed by the frequency, and the coefficients can be expressed by the Bessel function. When the frequency is close to 0, the nodes are close to those in the Gauss quadrature. When the frequency tends to infinity, the nodes tend symmetrically to the two ends of the integrand. The higher the frequency is, the higher the accuracy of this quadrature will be. Numerical examples are provided to illustrate the theoretical results.