Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE HYERS-ULAM-RASSIAS STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION II

  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Lee, Ju-Ri (Department of Mathematics Chungnam National University) ;
  • Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
  • Received : 2008.03.25
  • Accepted : 2008.05.16
  • Published : 2008.06.30
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Abstract

In this paper, we obtain the Hyers-Ulam-Rassias stability of a Cauchy-Jensen functional equation $$f(x+y,z)-f(x,z)-f(y,z)=0,\\2f(x,\frac{y+z}2)-f(x,y)-f(x,z)=0$$ in the spirit of Th. M. Rassias.

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