On the Stability of the Quadratic Functional Equation and Related Topics
In this paper we consider the problem of the stability of a quadratic equation in some abstract space in the sense of Hyers-Ulam-Rassias. This is a generalisation of an idea originally stated by S. M. Ulam for the linear (Cauchy) equation. Similar problems for other equations are actually investigated by several mathematicians.
Key words and phrasesFunctional equations Stability Hyers-Ulam-Rassias sequences Quadratic mappings
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