3 papers
math.FA2023
Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics
B. V. Simonov, A. A. Jumabayeva
In this paper we prove Ulyanov-type inequalities between mixed moduli of smoothness of positive orders in different metrics.
math.CA2013
Mixed Moduli of Smoothness in ,
M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov
In this paper we survey recent developments over the last 25 years on the mixed fractional moduli of smoothness of periodic functions from , . In particular, the p…
math.CA2005
Embedding theorems of function classes
B. Simonov, S. Tikhonov
In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the s…