The information inequality for operator equations in Hilbert space
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 2, pp. 377-384
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We construct an inequality for the accuracy of arbitrary approximate solutions of operator equations of the first kind in Hilbert space with stochastic errors in the data. This inequality is analogous to the well-known Rao–Cramer inequality.
@article{TVP_1981_26_2_a11,
author = {A. M. Fedotov},
title = {The information inequality for operator equations in {Hilbert} space},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {377--384},
year = {1981},
volume = {26},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a11/}
}
A. M. Fedotov. The information inequality for operator equations in Hilbert space. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 2, pp. 377-384. http://geodesic.mathdoc.fr/item/TVP_1981_26_2_a11/