M. K. Potapov, B. V. Simonov, “Refinement of the relations between mixed smoothness moduli in $L_1$ and $L_q$ metrics”, Sibirsk. Mat. Zh., 2021, Volume 62, Number 4,Pages 812

This article is cited in 3 papers

Refinement of the relations between mixed smoothness moduli in $L_1$ and $L_q$ metrics

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

^a Lomonosov Moscow State University, Moscow, Russia
^b Volgograd State Technical University, Volgograd, Russia

Abstract: We refine some relations between the mixed smoothness moduli of fractional orders which are considered in the $L_1$ and $L_q$ metrics.

Keywords: inequality, metric, mixed smoothness modulus of fractional order.

UDC: 517.5

Received: 13.03.2021
Revised: 13.05.2021
Accepted: 11.06.2021

DOI: 10.33048/smzh.2021.62.410