ON THE SOLUTION OF A MULTI-ADDITIVE FUNCTIONAL EQUATION AND ITS STABILITY

  • Park Won-Gil (National Institute for Mathematical Science) ;
  • Bae Jae-Hyeong (Department of Mathematics and Applied Mathematics, Kyung Hee University)
  • Published : 2006.09.01

Abstract

In this paper, we obtain the general solution and the generalized Hyers-Ulam stability of the multi-additive functional equation $f(x1+x2,y1+y2,z1+z2)={\Sigma}_{1{\le}i,j,k{\le}2}\;f(x1,yj,zk)$.

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