M. K. Potapov, B. V. Simonov, “Refinement of Relations between Mixed Moduli of Smoothness in the Metrics of $L_p$ and $L_\infty$”, Mat. Zametki, 2021, Volume 110, Issue 3,Pages 368

This article is cited in 3 papers

Refinement of Relations between Mixed Moduli of Smoothness in the Metrics of $L_p$ and $L_\infty$

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

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

Abstract: Refinements of some relations between mixed moduli of smoothness of fractional orders in the metrics $L_p$ and $L_\infty$ are obtained.

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

UDC: 517.5

Received: 19.02.2021
Revised: 11.05.2021

DOI: 10.4213/mzm13050