Short notes

Embedding theorems of different metrics for classes of functions with dominant mixed modulus of smoothness

T. F. Ismagilov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Embedding theorems in a mixed norm are proved in the paper for classes of functions with a dominanting mixed modulus of smoothness being extentions of well-known classes of Nikol'skii.

Key words: dominanting mixed modulus of smoothness, embedding theorems, mixed norm.

UDC: 511

Received: 11.02.2013

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2014, 69:2, 81–83

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