Approximate solution of a multivariable Cauchy-Jensen functional equation.

Autor: Bae, Jae-Hyeong, Park, Won-Gil
Předmět:
Zdroj: AIMS Mathematics; 2024, Vol. 9 Issue 3, p1-11, 11p
Abstrakt: Let n be an integer greater than 1 . In this paper, we obtained the stability of the multivariable Cauchy-Jensen functional equation n f (x 1 + ⋯ + x n , y 1 + ⋯ + y n n) = ∑ 1 ≤ i , j ≤ n f (x i , y j) in Banach spaces, quasi-Banach spaces, and normed 2 -Banach spaces. Let be an integer greater than . In this paper, we obtained the stability of the multivariable Cauchy-Jensen functional equation in Banach spaces, quasi-Banach spaces, and normed -Banach spaces. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index