This article is cited in 3 papers

Mathematics

Estimates for mixed moduli of smoothness in $L_q$ metric via mixed moduli of smoothness in $L_1$ metric

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 metrics of $L_1$ and $L_q$ are studied in the paper.

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

UDC: 517.5

Received: 22.06.2017

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2018, 73:2, 50–63

Bibliographic databases:

• 
• 
• 
•