2019
Том 71
№ 11

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On the optimal reconstruction of the values of operators

Korneichuk N. P.

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Abstract

For a continuous operator $А:\; X \rightarrow Y,$ we formulate the problem of the optimal renewal of values $Аx,\; x \in X$ by decreasing the uncertainty domain by using an information $\mu_k(x),\; k = 1, 2, ...,$, where $\mu_k$ are continuous functionals, defined on the space $X$. Specific results are obtained for some integral operators in functional spaces.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 10, pp 1519-1526.

Citation Example: Korneichuk N. P. On the optimal reconstruction of the values of operators // Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1375–1381.

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