2017
Том 69
№ 9

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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

The exact exponent of complexity is found for approximate solutions of a certain class of operator equations in a Hilbert space. A method for information setup and the algorithm for realization of this optimal degree are presented. As a consequence, we find the exact exponent of complexity for approximate solutions of Fredholm integral equations of the second kind whose kernels and free terms include square integrable ?-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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