Abstract
We consider the problem of conditions for the existence of multiple singular integrals of a certain class at inner and boundary points of a domain. We obtain the quadrature and cubature formulas for calculating multiple singular integrals and present the corresponding estimates for the formulas.
References
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S. M. Belotserkovskii and I. K. Lifanov, Numerical Methods in Singular Integral Equations [in Russian], Nauka, Moscow (1985).
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Additional information
East Ukrainian University, Lugansk. Translated from Ukrainskii Matematicheskii Zhurnal Vol. 49, No. 12, pp. 1677–1683, December, 1997.
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Akimenko, V.V. On quadrature and cubature formulas for a class of multiple singular integrals. Ukr Math J 49, 1891–1898 (1997). https://doi.org/10.1007/BF02513067
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DOI: https://doi.org/10.1007/BF02513067