On the Chebyshev quadrature rule of finite part integrals (Q1779424)

The authors studied a Chebyshev quadrature rule of one-sided finite part integral. The paper is organized in 4 Sections. In Section 1 (Introduction) some auxilliary results and the history of the problem are shortly presented. Section 2 contains the main results of the paper.The first part of this section is devoted to the computation of the quadrature weights. Next, a detailed stability analysis of the method is presented. In Section 3 the authors improve the convergence rate of the rule using the results obtained in Section 2. Section 4 contains some numerical examples.