Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON THE STABILITY OF A MIXED TYPE FUNCTIONAL EQUATION

  • Lee, Sang-Baek (Department of Mathematics Chungnam National University) ;
  • Park, Won-Gil (National Institute for Mathematical Sciences) ;
  • Bae, Jae-Hyeong (Department of Mathematics and Applied Mathematics Kyung Hee University)
  • Received : 2006.02.12
  • Published : 2006.03.31
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Abstract

The generalized Hyers-Ulam stability problems of the mixed type functional equation $$f\({\sum_{i=1}^{4}xi\)+\sum_{1{\leq}i<j{\leq}4}f(x_i+x_j)=\sum_{i=1}^{4}f(x_i)+\sum_{1{\leq}i<j<k{\leq}4}f(x_i+X_j+x_k)$$ is treated under the approximately even(or odd) condition and the behavior of the quadratic mappings and the additive mappings is investigated.

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