混合度量中光滑度混合模量的乌里扬诺夫不等式

IF 0.8 4区数学 Q2 MATHEMATICS Georgian Mathematical Journal Pub Date : 2024-08-02 DOI:10.1515/gmj-2024-2034

Boris V. Simonov, Ainur A. Jumabayeva

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引用次数: 0

摘要

本文研究了两变量函数平稳性的混合模。我们证明了不同度量的正阶光滑度混合模之间的乌里扬诺夫式不等式。我们还根据函数本身的光滑度混合模，得到了函数导数光滑度混合模的估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ulyanov inequalities for the mixed moduli of smoothness in mixed metrics

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.

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.