Zhang ['On hyperstability of generalised linear functional equations in several variables',
Bull. Aust. Math. Soc. 92 (2015), 259–267] proved a hyperstability result for generalised …

Using the direct method, we prove the Ulam stability results for the general linear functional
equation of the form∑ i= 1 m A i (f φ i (x¯))= D (x¯) for all x¯∈ X n, where f is the unknown …

We study the Ulam-type stability of a generalization of the Fréchet functional equation. Our
aim is to present a method that gives an estimate of the difference between approximate and …

In this paper, we prove the Ulam stability of the Fréchet functional equation f (x+ y+ z)+ f (x)+
f (y)+ f (z)= f (x+ y)+ f (y+ z)+ f (z+ x) arising from the characterization of inner product spaces …

Rozprawa doktorska" Stabilność uogólnień równania Frécheta" poświęcona jest stabilności
w sensie Ulama równania funkcyjnego wielu zmiennych, które jest uogólnieniem znanego …

Γi (F (pi (x1,..., xr)))+ D (x1,..., xr)(1) w klasie funkcji F: X→ Y, gdzie funkcje Γ1,..., Γl: Y→ Y, D:
Xr→ Y i p1,..., pl: Xr→ X są dane,(X,+) jest grupą przemienną, K jest ciałem liczb …

On Ulam Stability of a Generalization of the Fréchet Functional Equation on a Restricted
Domain | SpringerLink Skip to main content Advertisement SpringerLink Account Menu Find a …

We study the Ulam-type stability of a generalization of the Fréchet functional equation. Our
aim is to present a method that gives an estimate of the difference between approximate and …

We investigate the Hyers–Ulam stability of the well-known Fréchet functional equation that
comes from a characterization of inner product spaces. We also show its hyperstability on a …