Geodesic
A convergence criterion of a smoothing method for singular integral operators with piecewise continuous coefficients
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 54-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a complete singular integral operator with piecewise continuous coefficients on the real axis a criterion of convergence of an approximation method by a family of complete singular integral operators with the coefficients being continuous on the one-point compactification of the real axis is obtained. 
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V. S. Pilidi. A convergence criterion of a smoothing method for singular integral operators with piecewise continuous coefficients. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 54-60. http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a6/

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[2] Pilidi V. S., “Obosnovanie metoda sglazhivaniya koeffitsientov dlya singulyarnykh integralnykh operatorov s kusochno-nepreryvnymi koeffitsientami”, Izv. vysshikh uchebnykh zavedenii. Sev.-Kavk. reg., 128:4 (2004), 9–12

[3] Pilidi V. S., “O metode sglazhivaniya koeffitsientov dlya singulyarnykh integralnykh operatorov”, Sovremennye metody i problemy teorii operatorov i garmonicheskogo analiza i ikh prilozheniya-IV, Tezisy dokladov, ZAO “Tsentr universalnoi poligrafii”, Rostov n/D, 2014, 38

[4] Pilidi V. S., “Kriterii ravnomernoi obratimosti regulyarnykh approksimatsii odnomernykh singulyarnykh integralnykh operatorov s kusochno-nepreryvnymi koeffitsientami”, Izv. AN SSSR. Ser. mat., 54:6 (1990), 1270–1294 | MR | Zbl

[5] Gokhberg I. Ts., Krupnik N. Ya., Vvedenie v teoriyu odnomernykh singulyarnykh integralnykh operatorov, “Shtiintsa”, Kishinev, 1973, 426 pp. | MR