Mathematics

Kolyada inequality between mixed smoothness moduli of functions in the 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: Interrelations between mixed fractional moduli of smoothness considered in the $L_p$ and $L_\infty$ metrics are clarified in the paper.

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

UDC: 517.5

Received: 09.12.2020

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2022, 77:4, 161–175

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