Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION RELATED TO GENERAL QUADRATIC MAPPINGS

  • Jin, Sun-Sook (Department of Mathematics Education, Gongju National University of Education) ;
  • Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)
  • Received : 2017.05.26
  • Accepted : 2017.07.26
  • Published : 2017.09.25
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Abstract

In this paper, we investigate the stability of a functional equation $$2f(ax+by)+abf(x-y)+abf(y-x)-{\frac{2af((a+b)x)}{a+b}}-{\frac{bf((a+b)y)}{a+b}}-{\frac{bf(-(a+b)y)}{a+b}}=o$$ by applying the direct method in the sense of Hyers and Ulam.

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References

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