2019
Том 71
№ 10

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On the exact degree of complexity of a class of operator equations of the second kind in a Hilbert space

Makhkamov K. Sh.

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Abstract

An exact complexity exponent is found for an approximate solution of a certain class of operator equations in a Hilbert space. A method for information setup and the algorithm realizing an optimal order are given. As a consequence, we find an exact complexity exponent for an approximate solution of Fredholm integral equations of second kind with kernels and free terms having square integrable ψ-derivatives.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 979-990.

Citation Example: Makhkamov K. Sh. On the exact degree of complexity of a class of operator equations of the second kind in a Hilbert space // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 893–903.

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