Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION IN THREE VARIABLES

  • Park, Chun-Gil (Department of Mathematics Chungnam National University) ;
  • Wee, Hee-Jung (Department of Mathematics Chungnam National University)
  • Received : 2005.01.24
  • Published : 2005.04.30
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Abstract

In this paper, we prove the generalized Hyers-Ulam- Rassias stability of the functional equation $$af(\frac{x+y+z}{b})+af(\frac{x-y+z}{b})+af(\frac{x+y-z}{b})+af(\frac{-x+y+z}{b})=cf(x)+cf(y)+cf(z)$$.

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