×

zbMATH — the first resource for mathematics

On a method of proving the Hyers-Ulam stability of functional equations on restricted domains. (English) Zbl 1175.39014
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.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms)
PDF BibTeX XML Cite
Full Text: Link