二变量四元值几乎周期函数的近似定理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-25 DOI:10.1016/j.nonrwa.2024.104245

Chao Wang , Ling Guo , Ravi P. Agarwal

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引用次数: 0

摘要

本文研究了两变量的四元数傅里叶-斯蒂尔杰斯变换。通过正交拆分方法，得到了双变量的四元数值近周期函数的一些基本性质。通过引入四元数 Fourier-Stieltjes 积分的近周期近似，我们建立了四元数正交分裂均值定理。最后，建立了双变量四元数值近似周期函数的近似定理。

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Approximation theorem of quaternion-valued almost periodic functions of two variables

In this paper, the quaternion Fourier-Stieltjes transform of two variables is studied. By orthogonal-split method, some fundamental properties of the quaternion-valued almost periodic functions of two variables are obtained. Through introducing the almost periodic approximation via quaternion Fourier-Stieltjes integrals, we establish the quaternion orthogonal-split mean-value theorem. Finally, the approximation theorem of quaternion-valued almost periodic functions of two variables is established.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.