대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제41권3호
  • /
  • Pages.541-557
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  • 2004
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION

  • Kang, Jie-Hyung (Department of Mathematics Education, Kongju National University) ;
  • Lee, Chang-Ju (Department of Mathematics Education, Kongju National University) ;
  • Lee, Yang-Hi (Department of Mathematics Education, Kongju National University)
  • 발행 : 2004.08.01
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초록

In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approximate remainder ${\varphi}$ is defined by (x * y) ＋ (x * $y^{-1}$) - 2 (x) - 2 (y) =<${\varphi}$(x,y), (x*y*z)＋ (x)＋ (y)＋ (z)－ (x*y)－ (y*z)－ (z*x)＝${\varphi}$(x, y, z), where (G,*) is a group, X is a real or complex Hausdorff topological vector space, and is a function from G into X.

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참고문헌

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피인용 문헌

  1. Elementary remarks on Ulam–Hyers stability of linear functional equations vol.328, pp.1, 2007, https://doi.org/10.1016/j.jmaa.2006.04.079