Approximate solution of a multivariable Cauchy-Jensen functional equation

Autor: Jae-Hyeong Bae, Won-Gil Park
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 3, Pp 7084-7094 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024345?viewType=HTML
Popis: Let $ n $ be an integer greater than $ 1 $. In this paper, we obtained the stability of the multivariable Cauchy-Jensen functional equation $ 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) $ in Banach spaces, quasi-Banach spaces, and normed $ 2 $-Banach spaces.
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