2017
Том 69
№ 9

All Issues

On the calculation of certain singular integrals

Kovalenko I. L., Litvin A. I., Simonzhenkov S. D.

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Abstract

A method for the approximate calculation of Cauchy-type integrals with logarithmic singularities is proposed. It is based on the expansion of a functionf(t) in a series in the Chebyshev polynomials.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 8, pp 1312-1315.

Citation Example: Kovalenko I. L., Litvin A. I., Simonzhenkov S. D. On the calculation of certain singular integrals // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1174–1176.

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