Approximate solution of a multivariable Cauchy-Jensen functional equation-Reference-Cited by-同舟云学术

Approximate solution of a multivariable Cauchy-Jensen functional equation

Published:2024 Issue:3 Volume:9 Page:7084-7094
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bae Jae-Hyeong¹,Park Won-Gil²

Affiliation:

1. Humanitas College, Kyung Hee University, Yongin 17104, Republic of Korea

2. Department of Mathematics Education, College of Education, Mokwon University, Daejeon 35349, Republic of Korea

Abstract

<abstract>Let $ n $ be an integer greater than $ 1 $. In this paper, we obtained the stability of the multivariable Cauchy-Jensen functional equation <disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ nf\bigg(x_1+{\cdots}+x_n, \frac {y_1+{\cdots}+y_n}n\bigg) = \sum\limits_{1\le i, j\le n}f(x_i, y_j) $\end{document} </tex-math></disp-formula> in Banach spaces, quasi-Banach spaces, and normed $ 2 $-Banach spaces.</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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