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

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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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     author = {V. S. Pilidi},
     title = {A convergence criterion of a~smoothing method for singular integral operators with piecewise continuous coefficients},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {54--60},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a6/}
}
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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/