Asymptotic behavior of Fréchet functional equation and some characterizations of inner product spaces

C Park, MA Tareeghee, A Najati… - Demonstratio …, 2023 - degruyter.com
This article presents the general solution f: G→ V of the following functional equation: f (x)− 4
f (x+ y)+ 6 f (x+ 2 y)− 4 f (x+ 3 y)+ f (x+ 4 y)= 0, x, y∈ G, where (G,+) is an abelian group and …

Stability analysis of generalized linear functional equations employing the fixed point approach

G Lyu, Y Jin, Q Liu - 2023 - researchsquare.com
Stability analysis of generalized linear functional equations employing the xed point
approach Page 1 Stability analysis of generalized linear functional equations employing the …

[PDF][PDF] On asymptotic behavior of a quadratic functional equation.

M Sirouni, M Almahalebi… - Journal of Computational …, 2023 - eudoxuspress.com
The main goal of this paper is to investigate the stability problems for the following quadratic
functional equation f (x+ y+ z)+ f (x+ y− z)+ f (x− y+ z)+ f (− x+ y+ z)= 4f (x)+ 4f (y)+ 4f (z) on an …