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On Hyers-Ulam stability for a class of functional equations

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In this paper we prove some stability theorems for functional equations of the formg[F(x, y)]=H[g(x), g(y), x, y]. As special cases we obtain well known results for Cauchy and Jensen equations and for functional equations in a single variable.

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Work supported by M.U.R.S.T. Research funds (60%).

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Borelli, C. On Hyers-Ulam stability for a class of functional equations. Aequ. Math. 54, 74–86 (1997). https://doi.org/10.1007/BF02755447

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  • DOI: https://doi.org/10.1007/BF02755447

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