2017
Том 69
№ 7

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An estimate for the modulus of continuity of a quaternion singular Cauchy integral

Gerus O. F.

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Abstract

We establish an upper bound for the modulus of continuity of a quaternion singular Cauchy integral in terms of the modulus of continuity of the integrand and a metric characteristic of a curve.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 10, pp 1657-1665.

Citation Example: Gerus O. F. An estimate for the modulus of continuity of a quaternion singular Cauchy integral // Ukr. Mat. Zh. - 2010. - 62, № 10. - pp. 1428–1435.

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