Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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STABILITY OF AN n-DIMENSIONAL QUADRATIC FUNCTIONAL EQUATION

  • 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 : 2018.05.03
  • Accepted : 2018.09.19
  • Published : 2018.11.15
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Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of the functional equation $$f\({\sum\limits_{i=1}^{n}}x_i\)+{\sum\limits_{1{\leq}i<j{\leq}n}}f(x_i-x_j)-n{\sum\limits_{i=1}^{n}f(x_i)=0$$ for integer values of n such that $n{\geq}2$, where f is a mapping from a vector space V to a Banach space Y.

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References

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