충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제22권1호
  • /
  • Pages.31-37
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  • 2009
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

STABILITY OF A SYSTEM OF FUNCTIONAL EQUATIONS ON JENSEN-QUADRATIC MAPPINGS

  • 투고 : 2008.12.06
  • 심사 : 2009.02.25
  • 발행 : 2009.03.31
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초록

In this paper, we obtain the generalized Hyers-Ulam stability of a functional equation and a system of functional equations on Jensen-quadratic mappings.

키워드

과제정보

연구 과제 주관 기관 : Kyung Hee University

참고문헌

  1. J. Aczel and J. Dhombres, Functional Equations in Several Variables, Cambridge Univ. Press, Cambridge, 1989.
  2. J.-H. Bae and W.-G. Park, On a cubic equation and a Jensen-quadratic equation, Abstract Appl. Anal. 2007 (2007), Article ID 45179.
  3. J.-H. Bae and W.-G. Park, A functional equation originating from quadratic forms, J. Math. Anal. Appl. 326 (2007), 1142-1148. https://doi.org/10.1016/j.jmaa.2006.03.023
  4. D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941), 222–224.
  5. S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press, Inc., Palm Harbor, Florida, 2001.
  6. W.-G. Park and J.-H. Bae, On a bi-quadratic functional equation and its stability, Nonlinear Anal.-TMA 62 (2005), 643-654. https://doi.org/10.1016/j.na.2005.03.075
  7. S. M. Ulam, A Collection of Mathematical Problems, Interscience Publishers, New York, 1968, p.63.