• Title/Summary/Keyword: Euler-Lagrange type quadratic mapping

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GENERALIZED STABILITY OF EULER-LAGRANGE TYPE QUADRATIC MAPPINGS

  • Jun, Kil-Woung;Oh, Jeong-Ha
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.535-542
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    • 2007
  • 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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