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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 10, Pages 1603–1609
DOI: https://doi.org/10.7868/S0044466913100104 (Mi zvmmf9924) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A family of operators with discontinuous ranges and approximation and restoration of continuous functions

A. P. Khromov, G. V. Khromova

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
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DOI: https://doi.org/10.7868/S0044466913100104
Abstract: A class of operators whose construction is similar to but simpler than the construction of Landau operators is the basis for the design of a modified family of operators with discontinuous ranges. This family has good approximation properties with respect to approximation and restoration problems for continuous functions.
Key words: function approximation, Landau operator, function restoration, regularization, error estimates.
Received: 30.04.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 10, Pages 1421–1427
DOI: https://doi.org/10.1134/S0965542513100096
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. P. Khromov, G. V. Khromova, “A family of operators with discontinuous ranges and approximation and restoration of continuous functions”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1603–1609; Comput. Math. Math. Phys., 53:10 (2013), 1421–1427
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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