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Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 2016, Volume 16, Issue 3, Pages 298–302 (Mi isu648)  

Mathematics

On operators with discontinuous range

G. V. Khromova

Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia

Abstract: With the use of operators from approximation function theory we construct integral operators with discontinuous range of values, which make it possible to obtain uniform approximations of continuous functions on the whole interval of their definition.

Key words: operator, continuous function, interval, uniform approximations.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 1.1520.2014К
The results have been obtained in the framework of the national tasks of the Ministry of Education and Science of the Russian Federation (project no. 1.1520.2014K).


DOI: https://doi.org/10.18500/1816-9791-2016-16-3-298-302

Full text: PDF file (132 kB)
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Bibliographic databases:

UDC: 517.51

Citation: G. V. Khromova, “On operators with discontinuous range”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:3 (2016), 298–302

Citation in format AMSBIB
\Bibitem{Khr16}
\by G.~V.~Khromova
\paper On operators with discontinuous range
\jour Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 3
\pages 298--302
\mathnet{http://mi.mathnet.ru/isu648}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-3-298-302}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3557757}
\elib{http://elibrary.ru/item.asp?id=26702019}


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  • Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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