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// Trudy Matematicheskogo Instituta imeni V.A. Steklova
// Archive
Trudy Mat. Inst. Steklova,
2016
Volume 293,
Pages
224–235
(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
Abstract:
It is proved that the Nikol'skii classes
$H_1^r$
and Potapov classes
$A_1^r$
contain the class
$W_1^r$
for
$r>1/2$
.
UDC:
517.5
Received:
March 26, 2015
DOI:
10.1134/S0371968516020163
Fulltext:
PDF file (177 kB)
References
English version:
Proceedings of the Steklov Institute of Mathematics, 2016,
293
,
216–227
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
Fulltext:
PDF file (177 kB)