Quadrature formula of singular integral based on rational interpolation |
| |
| Authors: | Du Jin-yuan Zhang Meng |
| |
| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan Hubei, China |
| |
| Abstract: | We construct a quadrature formula of the singular integral with the Chebyshev weight of the second kind by using Lagrange interpolation based on the rational system {1/(x-a1),1/(x-a2),...}, and both the remainder and convergence of the quadrature formula established here are discussed. Our results extend some classical ones. |
| |
| Keywords: | rational system generalized Chebyshev polynomial Lagrange interpolation singular quadrature formula |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ |
|
