Journal of the Chungcheong Mathematical Society (충청수학회지)

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

  • Lee, Sang Han (Department of Cultural Studies Chungbuk Provincial University of Science & Technology) ;
  • Park, Chun-Gil (Department of Mathematics Chungnam National University)
  • Received : 2003.09.15
  • Published : 2003.12.31
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Abstract

In this paper, we solve the following 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)$$, and prove the Hyers-Ulam-Rassias stability of the functional equation as given above.

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