ON AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION AND ITS STABILITY

  • PARK WON-GIL (Department of Mathematics, Hannam University) ;
  • BAE JAE-HYEONG (Department of Mathematics and Applied Mathematics, Kyunghee University) ;
  • CHUNG BO-HYUN (Mathematics Section, College of Science and Technology, Hongik University)
  • Published : 2005.03.01

Abstract

In this paper, we obtain the general solution and the generalized Hyers-Ulam stability of the additive-quadratic functional equation f(x + y, z + w) + f(x + y, z - w) = 2f(x, z)+2f(x, w)+2f(y, z)+2f(y, w).

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