Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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STABILITY OF A QUADRATIC-CUBIC-QUARTIC FUNCTIONAL EQUATION

  • Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
  • Received : 2019.07.23
  • Accepted : 2019.12.21
  • Published : 2020.02.15
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Abstract

In this paper, we investigate the stability of a quadratic-cubic-quartic functional equation $$f(x+ky)+f(x-ky)-k^2f(x+y)-k^2f(x-y)-2(1-k^2)f(x)-{\frac{k^2(k^2-1)}{6}}(f(2y)+2f(-y)-6f(y))=0$$ by applying the direct method in the sense of Gǎvruta.

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References

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