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Teoriya Veroyatnostei i ee Primeneniya, 1981, Volume 26, Issue 2, Pages 377–384 (Mi tvp2519)  
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

The information inequality for operator equations in Hilbert space

A. M. Fedotov

Novosibirsk
Full-text PDF (500 kB) Citations (2)
Abstract: 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.
Received: 13.02.1979
English version:
Theory of Probability and its Applications, 1982, Volume 26, Issue 2, Pages 371–378
DOI: https://doi.org/10.1137/1126037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Fedotov, “The information inequality for operator equations in Hilbert space”, Teor. Veroyatnost. i Primenen., 26:2 (1981), 377–384; Theory Probab. Appl., 26:2 (1982), 371–378
Citation in format AMSBIB
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\by A.~M.~Fedotov
\paper The information inequality for operator equations in Hilbert space
\jour Teor. Veroyatnost. i Primenen.
\yr 1981
\vol 26
\issue 2
\pages 377--384
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\zmath{https://zbmath.org/?q=an:0479.60064|0461.60081}
\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 26
\issue 2
\pages 371--378
\crossref{https://doi.org/10.1137/1126037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NJ71600012}
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  • https://www.mathnet.ru/eng/tvp/v26/i2/p377
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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