Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics-Reference-Cited by-同舟云学术

Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics

Published:2024-08-03 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Simonov Boris V.¹,Jumabayeva Ainur A.²

Affiliation:

1. IVolgograd State Technical University , Volgograd , 400131 , Russia

2. L. N. Gumilyov Eurasian National University , Satpayev 2, 010000 Astana , Kazakhstan

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2034/pdf

Reference40 articles.

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