某些巴拿赫函数空间的平滑度模量

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2023-12-11 DOI:10.1007/s11253-023-02253-z

Ramazan Akgün

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引用次数: 0

摘要

基于斯特克洛夫算子，我们考虑了某些巴拿赫函数空间中函数的平滑度模量，它可能不是平移不变的，并确定了它的主要性质。借助杰克逊型直接定理和三角函数逼近的逆定理，我们获得了该 Lipschitz 类的构造性特征。作为应用，我们举了几个相关（加权）函数空间的例子。

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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A Modulus of Smoothness for Some Banach Function Spaces

Based on the Steklov operator, we consider a modulus of smoothness for functions in some Banach function spaces, which can be not translation invariant, and establish its main properties. A constructive characterization of the Lipschitz class is obtained with the help of the Jackson-type direct theorem and the inverse theorem on trigonometric approximation. As an application, we present several examples of related (weighted) function spaces.

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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.