This article is cited in 2 papers

Mathematics

Interrelations between full moduli of smoothness in the metrics of $L_1$ и $L_\infty$

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: Interrelation between full moduli of smoothness of natural orders in the metrics $L_1$ and $L_\infty$ is considered in the paper.

Key words: full modulus of smoothness, metric.

UDC: 517.5

Received: 26.11.2014

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:1, 15–22

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