an:05619312
Zbl 1175.39014
Brzd??k, Janusz
On a method of proving the Hyers-Ulam stability of functional equations on restricted domains
EN
Aust. J. Math. Anal. Appl. 6, No. 1, Article 4, 10 p. (2009).
00254594
2009
j
39B82 39B52 20L05
functional equations; square symmetric groupoid; complete metric; semigroup; Cauchy equation; Jensen equation; quadratic equation; Hyers-Ulam stability
Summary: We show that generalizations of some (classical) results on the Hyers-Ulam stability of functional equations, in several variables, can be very easily derived from a simple result on stability of a functional equation in a single variable.