Volume 6, Issue 3
Quadrature Formulas for Singular Integrals with Hilbert Kernel
DOI:

J. Comp. Math., 6 (1988), pp. 205-225

Published online: 1988-06

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• Abstract

In this paper, we first establish the quadrature formulae of proper integrals with weight by trigonometric interpolation. Then we use the method of separetion of singularity to derive the quadrature formulae of corresponding singular integrals with Hilbert Kernel. The trigonometric precision, the estimate of the remainder and the convergence of each quadrature formula derived here are also established.

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