Quadrature formula of singular integral based on rational interpolation |
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| Authors: | Du Jin-yuan Zhang Meng |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan Hubei, China |
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| 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. |
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| Keywords: | rational system generalized Chebyshev polynomial Lagrange interpolation singular quadrature formula |
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