2019
Том 71
№ 8

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An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity

Shabozov M. Sh.

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Abstract

For classes of functions given on the segment [0,1], we obtain optimal quadrature formulas for singular integrals with fixed singularity. The obtained results are extended to the case of two-dimensional integrals.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 9, pp 1479-1485.

Citation Example: Shabozov M. Sh. An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity // Ukr. Mat. Zh. - 1995. - 47, № 9. - pp. 1300–1304.

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