Two general theorems on superstability of functional equations

Obrazek miniatury
Data
2015
Autorzy
Brzdęk, Janusz
Najdecki, Adam
Xu, Bing
Tytuł czasopisma
ISSN
Tytuł tomu
Wydawnictwo
Springer Basel, Aequationes Mathematicae
Abstrakt
We prove that the superstability of some functional equations (e.g., of Cauchy, d’Alembert, Wilson, Reynolds, and homogeneity) is a consequences of two simple theorems. In this way we generalize several classical superstability results.
Opis
Słowa kluczowe
Superstability , functional equation
Cytowanie
J. Brzdek, A. Najdecki, and B. Xu, “Two general theorems on superstability of functional equations,” Aequat. Math. 89 (2015), 771-783