This article is cited in 2 papers

Mathematics

Interrelations between mixed moduli of smoothness in metrics of $L_p$ and $L_\infty$

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: In this paper we study interrelations between mixed fractional moduli of smoothness considered in the metrics of $L_p$ and $L_\infty$.

Key words: inequality, metrics, mixed fractional moduli of smoothness.

UDC: 517.5

Received: 19.10.2016

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:3, 107–120

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