Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics
Simonov B.V. Jumabayeva A.A.
1 February 2025Walter de Gruyter GmbH
Georgian Mathematical Journal
2025#32Issue 1149 - 161 pp.
In this paper, mixed moduli of smoothness of functions of two variables are studied. We prove Ulyanov-type inequalities between mixed moduli of smoothness of positive orders in different metrics. Estimates for the mixed moduli of smoothness of the derivative of a function are also obtained in terms of the mixed moduli of smoothness of the function itself.
Mixed moduli of smoothness of positive order , Ulyanov-type inequality
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L. N. Gumilyov Eurasian National University, Satpayev 2, Astana, 010000, Kazakhstan
IVolgograd State Technical University, Volgograd, 400131, Russian Federation
L. N. Gumilyov Eurasian National University
IVolgograd State Technical University
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