二变量四元值几乎周期函数的近似定理

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications 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

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.