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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 293, Pages 224–235
DOI: https://doi.org/10.1134/S0371968516020163 (Mi tm3716) 		 
On the Nikol'skii and Potapov classes of functions

V. P. Motornyi

Oles Honchar Dnipropetrovsk National University, Gagarin Ave. 72, Dnipropetrovsk, 49010 Ukraine
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DOI: https://doi.org/10.1134/S0371968516020163
Abstract: It is proved that the Nikol'skii classes Hr1 and Potapov classes Ar1 contain the class Wr1 for r>1/2.
Received: March 26, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 293, Pages 216–227
DOI: https://doi.org/10.1134/S0081543816040167
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. P. Motornyi, “On the Nikol'skii and Potapov classes of functions”, 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, 224–235; Proc. Steklov Inst. Math., 293 (2016), 216–227
Citation in format AMSBIB
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\pages 224--235
\publ MAIK Nauka/Interperiodica
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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