Mathematics

Interconnection of partial smoothness moduli in various mixed metrics

M. K. Potapov^a, B. V. Simonov<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Volgograd State Technical University

Abstract: Inequalities of Ul'yanov's type between partial moduli of smoothness of positive orders in different metrics are proved in the paper.

Key words: inequality, metrics, partial modulus of smoothness of positive order.

UDC: 517.5

Received: 02.10.2020

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2021, 76:5, 206–220

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