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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
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.
Received: November 4, 2015
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
Linking options:
https://www.mathnet.ru/eng/tm3703https://doi.org/10.1134/S0371968516020035 https://www.mathnet.ru/eng/tm/v293/p43
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Abstract page: | 327 | Full-text PDF : | 62 | References: | 44 | First page: | 9 |
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