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.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 9, pp. 1300–1304, September, 1995.
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Shabozov, M.S. An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity. Ukr Math J 47, 1479–1485 (1995). https://doi.org/10.1007/BF01057523
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DOI: https://doi.org/10.1007/BF01057523