On the optimal reconstruction of the values of operators

  • N. P. Korneichuk

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.
Published
25.10.1994
How to Cite
KorneichukN. P. “On the Optimal Reconstruction of the Values of Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 10, Oct. 1994, pp. 1375–1381, https://umj.imath.kiev.ua/index.php/umj/article/view/5616.
Section
Research articles