Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION III

  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education) ;
  • Son, Ji-Ae (Department of Mathematics Chungnam National University)
  • Received : 2008.05.07
  • Published : 2008.06.10
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Abstract

In this paper, we prove the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation $2f(x+y,\frac{z+w}{2})=f(x,z)+f(x,w)+f(y,z)+f(y,w)$ in the spirit of $P.G{\breve{a}}vruta$.

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