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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 294, Pages 308–324
DOI: https://doi.org/10.1134/S0371968516030201 (Mi tm3730) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimates for the widths of discrete function classes generated by a two-weight summation operator

A. A. Vasil'eva

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968516030201
Abstract: Order estimates are obtained for the Kolmogorov, linear, and Gel'fand widths of the image of the unit ball of the space $l_p$ under the action of a two-weight summation operator with weights of special kind. Some limit conditions on the parameters defining the weights are considered.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: April 15, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 294, Pages 291–307
DOI: https://doi.org/10.1134/S0081543816060201
Bibliographic databases:
Document Type: Article
UDC: 517.518.224
Language: Russian
Citation: A. A. Vasil'eva, “Estimates for the widths of discrete function classes generated by a two-weight summation operator”, Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 308–324; Proc. Steklov Inst. Math., 294 (2016), 291–307
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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