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The Modified Hyers-Ulam-Rassias Stability of a Mixed Type Functional Equation

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Abstract

We investigate the modied Hyers-Ulam-Rasias tability for the folow-ing mixed type functional equation, i.e, cubic or quadratictype functional equation:9f(x + y)9f(x y) + f(6y) = 3 f(x + 3 y)3f(x 3y) + 9 f(2y).

참고문헌 (22)

  1. "Functional Equations in Several Variables" (1989), Cambridge Univ Press
  2. "The stability of the cosine equation", pp.411~416 (1980)
  3. "Remarks on the stability of functional equations", pp.76~86 (1984)
  4. "On the stability of the quadratic mapping in normed spaces", pp.59~64 (1992), Univ
  5. "A generalization of the Hyers-Ulam-Rassias Stability of approximatelyadditive mappings", pp.431~436 (1994)
  6. "On the stability of the linear functional equation", pp.222~224 (1941)
  7. "?Stability of Functional Equations in SeveralVariables?" (1998), Birkh?auser, Basel
  8. "On the asymptoticity aspect of Hyers-Ulam stability of mappings", 126, pp.425~430 (1998)
  9. "The generalized Hyers-Ulam-Rassias stability of a cubicfunctional equation", 274(2), pp.867~878 (2002)
  10. "On the Hyers-Ulam stability of a generalized quadratic andadditive functional equation", 42, pp.133~148 (2005)
  11. "On the Hyers-Ulam stability of an Euler-Lagrange type cubic functional equation", 7, pp.21~33 (2005)
  12. "On the Hyers-Ulam stability of the functional equations that have thequadratic property", 222, pp.126~137 (1998)
  13. "On the stability of the functional equation f(x+yxy)+xf(y)+yf(x) =f(x) + f(y)", 7(1), pp.79~85 (2004)
  14. "The stability of a cubic type functional equation with thefixed point alternative", 306, pp.752~760 (2005)
  15. "The stability of a WIlson type and a Pexider type functionalequation", 9(4), pp.707~716 (2006)
  16. "Quadratic functional equation and inner product spaces", 27, pp.368~372 (1995)
  17. "Solution of the Ulam stability problem for cubic mappings", 36(5G), pp.63~72 (2001)
  18. "On the stability of the linear mapping in Banach spaces", pp.297~300 (1978)
  19. "On the stability of functional equations in Banach spaces", 251, pp.264~284 (2000)
  20. "Functional Equations and inequalities" (2000), Kluwer Academic, Dordrecht[DOI]
  21. "What is left of Hyers-Ulam stability? Journal of NaturalGeometry 1", pp.65~69 (1992)
  22. "Problems in Modern Mathematics", chap (1960)

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