Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE STABILITY OF A MODIFIED JENSEN TYPE CUBIC MAPPING

  • Kim, Hark-Mahn (Department of Mathematics Chungnam National University) ;
  • Ko, Hoon (Department of Mathematics Chungnam National University) ;
  • Son, Jiae (Department of Mathematics Chungnam National University)
  • Received : 2008.02.13
  • Published : 2008.03.31
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Abstract

In this paper we introduce a Jensen type cubic functional equation $$f\(\frac{3x+y}{2}\)+f\(\frac{x+3y}{2}\)\\=12f\(\frac{x+y}{2}\)+2f(x)+2f(y),$$ and then investigate the generalized Hyers-Ulam stability problem for the equation.

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