Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION

  • Koh, Heejeong (Department of Mathematics Education, College of Education Dankook University)
  • Received : 2008.02.11
  • Accepted : 2008.04.02
  • Published : 2008.06.30
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Abstract

In this paper, we obtain the general solution, the generalized Hyers-Ulam-Rassias stability, and the stability by using the alternative fixed point for a cubic functional equation $4f(x+my)+4f(x-my)+m^2f(2x)=8f(x)+4m^2f(x+y)+4m^2f(x-y)$ for a positive integer $m{\geq}2$.

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