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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 43–61
DOI: https://doi.org/10.1134/S0371968516020035 (Mi tm3703) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties

E. G. Bakhtigareeva, M. L. Goldman

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (252 kB) Citations (7)
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DOI: https://doi.org/10.1134/S0371968516020035
Abstract: We study the problem of constructing a minimal quasi-Banach ideal space containing a given cone of nonnegative functions with monotonicity properties. The construction employs nondegenerate operators. We present general results on constructing optimal envelopes consistent with an order relation and obtain specifications of these constructions for various cones and various order relations. We also address the issue of order covering and order equivalence of cones.
Funding agency Grant number
Russian Science Foundation 14-11-00443
This work is supported by the Russian Science Foundation under grant 14-11-00443.
Received: November 4, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 37–55
DOI: https://doi.org/10.1134/S0081543816040039
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: E. G. Bakhtigareeva, M. L. Goldman, “Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 43–61; Proc. Steklov Inst. Math., 293 (2016), 37–55
Citation in format AMSBIB
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\paper Construction of an optimal envelope for a~cone of nonnegative functions with monotonicity properties
\inbook Function spaces, approximation theory, and related problems of mathematical analysis
\bookinfo Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
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\vol 293
\pages 43--61
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 7 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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