PUBLICATIONS DE L'INSTITUT MATH\'EMATIQUE (BEOGRAD) (N.S.) EMIS ELibM Electronic Journals Publications de l'Institut Mathématique (Beograd)
Vol. 73(87), pp. 129-137 (2003)

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HYERS--ULAM STABILITY OF A GENERAL QUADRATIC FUNCTIONAL EQUATION

Hark-Mahn Kim

Department of Mathematics, Chungnam National University, Daejeon 305-764, Korea

Abstract: We obtain a general solution and solve the Hyers--Ulam stability problem for the general quadratic functional equation $$ f(x+y+z)+f(x-y)+f(x-z)=f(x-y-z)+f(x+y)+f(x+z). $$

Keywords: Hyers--Ulam stability; quadratic functional equation

Classification (MSC2000): 39B22; 39B52; 39B72

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