2019
Том 71
№ 7

All Issues

Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type

Shabozov M. Sh., Vakarchuk S. B.

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Abstract

We consider the problem of application of mixed methods to the construction of algorithms, optimal in accuracy, for the calculation of multidimensional singular integrals with Hilbert-type kernels. We propose a method for the optimization of cubature formulas for singular integrals with Hilbert-type kernels based on the theory of quasiwidths.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 6, pp 846-865.

Citation Example: Shabozov M. Sh., Vakarchuk S. B. Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type // Ukr. Mat. Zh. - 1996. - 48, № 6. - pp. 753-770.

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