M. K. Potapov, B. V. Simonov, “Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, Number 2,Pages 43

This article is cited in 1 paper

Inequalities refining relationships between mixed moduli of smoothness in $L_1$- and $L_q$-metrics

M. K. Potapov^a, B. V. Simonov^b

^a Moscow State University, 1 Vorobyevy Gory, GSP-1, Moscow, 119991 Russia
^b Volgograd State Technical University, 28 Lenin Ave., Volgograd, 400005 Russia

Abstract: Some refinements for some relations between mixed moduli of smoothness of fractional orders considered in metrics of $L_1$ and $L_q$ are obtained in the article.

Keywords: inequality, metrics, mixed fractional moduli of smoothness.

UDC: 517.5

Received: 17.05.2021
Revised: 17.05.2021
Accepted: 29.06.2021

DOI: 10.26907/0021-3446-2022-2-43-61