Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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GENERALIZED STABILITY OF EULER-LAGRANGE TYPE QUADRATIC MAPPINGS

  • Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
  • Oh, Jeong-Ha (Department of Mathematics Chungnam National University)
  • Received : 2007.10.30
  • Published : 2007.12.31
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Abstract

In this paper, we investigate the generalized Hyers-Ulam{Rasssias stability of the following Euler-Lagrange type quadratic functional equation $$f(ax+by+cz)+f(ax+by-cz)+f(ax-by+cz)+f(ax-by-cz)=4a^2f(x)+4b^2f(y)+4c^2f(z)$$.

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