Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Refined Stability Results of Functional Equation in Four Variables

  • Kim, Hark-Mahn (Department of Mathematics, Chungnam National University) ;
  • Lee, Soon (Department of Mathematics, Chungnam National University)
  • Received : 2013.03.30
  • Accepted : 2013.07.18
  • Published : 2015.03.23
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Abstract

In this paper, we present the general solution of the functional equation $$rf(\frac{x+y+z+w}{s})+rf(\frac{x+y-z-w}{s})+rf(\frac{x-y+z-w}{s})+rf(\frac{x-y-z+w}{s})=tf(x)+tf(y)+tf(z)+tf(w)$$ and improve the Hyers-Ulam stability of the equation.

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References

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