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

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    M. Sh. Shabozov

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  1. M. Sh. Shabozov
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Additional information

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

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