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On a modification of the method of mechanical quadratures for singular integral equations. (Russian) Zbl 0712.65122
The author applies the method of mechanical quadratures in the sense of B. G. Gabdulhaev [Dokl. Akad. Nauk SSSR 179, No.2, 260-263 (1968; Zbl 0177.388), Izv. Vyssh. Uchebn. Zaved., Mat. 5, 43-51 (1965; Zbl 0154.173), ibid. 197/11, 33-44 (1971; Zbl 0277.45006)] to the singular equation $$a(t)x(t)+\frac{1}{\pi^ i}\int_{\gamma}\frac{g(t,\tau)x(\tau)}{t-\tau}d\tau =f(t)$$ with Hölder continuous functions a, f and g.
Reviewer: J.Appell
##### MSC:
 65R20 Numerical methods for integral equations 45E05 Integral equations with kernels of Cauchy type