Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON THE SUPERSTABILITY OF THE GENERALIZED SINE FUNCTIONAL EQUATIONS

  • Han, Mi Hyun (Departament of Mathematics Chungnam National University) ;
  • Kim, Gwang Hui (Department of Mathematics Kangnam University)
  • Received : 2011.02.25
  • Accepted : 2011.04.15
  • Published : 2011.06.30
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Abstract

In this paper, we study the superstability problem bounded by two-variables of Th. M. Rassias type for the generalized sine functional equations $$g(x+y)f(x-y)=f(x)^2-f(y)^2 \\ f(x+y)g(x-y)=f(x)^2-f(y)^2 \\ g(x+y)g(x-y)=f(x)^2-f(y)^2$$, which does not use his iteration method.

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References

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