The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON THE HYERS-ULAM-RASSIAS STABILITY OF AN ADDITIVE-CUBIC-QUARTIC FUNCTIONAL EQUATION

  • Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)
  • Received : 2019.03.28
  • Accepted : 2019.11.19
  • Published : 2019.11.30
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Abstract

In this paper, we investigate Hyers-Ulam-Rassias stability of the functional equation f(x + ky) - k2f(x + y) + 2(k2 - 1)f(x) - k2f(x - y) + f(x - ky) - k2(k2 - 1)(f(y) + f(-y)) = 0, where k is a fixed real number with |k| ≠ 0, 1.

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References

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