M. K. Potapov, B. V. Simonov, “Estimates of partial smoothness moduli in metrics $L_{p_1 \infty}$ and $L_{\infty p_2}$ by partial smoothness moduli in the metrics $L_{p_1 p_2}$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, Number 1,Pages 3

This article is cited in 3 papers

Mathematics

Estimates of partial smoothness moduli in metrics $L_{p_1 \infty}$ and $L_{\infty p_2}$ by partial smoothness moduli in the metrics $L_{p_1 p_2}$

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

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Volgograd State Technical University

Abstract: Interrelation between partial moduli of smoothness of positive order considered in metrics of $L_{p_1 \infty}, L_{\infty p_2}$, and $L_{p_1 p_2}$ is studied.

Key words: inequality, metrics, partial moduli of smoothness of positive order.

UDC: 517.5

Received: 09.01.2019