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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 4, Pages 28–32 (Mi vmumm248)

Mathematics

Embedding theorem of different metrics for a generalized Nikol'skii class

T. F. Ismagilov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A class of functions being a generalization of well-known Nikolskii's classes is considered in the paper. An embedding theorem of different metrics is proved.

Key words: modulus of smoothness, structural characteristics, embedding theorem.

UDC: 517.5

Received: 04.06.2014


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2015, 70:4, 176–180

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