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On Hyers-Ulam stability for a class of functional equations
Authors:Costanza Borelli
Affiliation:(1) Dipartimento di Matematica, Università degli Studi di Milano, Via C. Saldini 50, I-20133 Milano, Italy
Abstract:
Summary 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. Work supported by M.U.R.S.T. Research funds (60%).
Keywords:39B52  39B72  47H15
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