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The Asymptotic Behavior of Generalized Quadratic Mappings on Restricted Domains

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Abstract

In this paper we solve the Hyers-Ulam stability problem for quadratic functional equations on restricted domains, and then obtain an asymptotic behavior of quadratic mappings on restricted domains.

참고문헌 (10)

  1. "Functional Equations in Several Variables" (1989), Cambridge Univ
  2. "Characterizations of iner product spaces" (1986)
  3. Math, "On the stability of the quadratic maping in ormed spaces", pp.59~64, Univ
  4. "Coments on the core of the direct method for proving Hyers-Ulam sta-bility of unctional equations", pp.127~13
  5. "Stability of isometries THE ASYMPTOTIC BEHAVIOR OF GENERALIZED QUADRATIC MAPINGS 247", pp.263~27 (1978)
  6. "On the stability of the linear functional equation", pp.2~24 (1941)
  7. "Stability of Functional Equations in SeveralVariables"
  8. "On the Hyers-Ulam stability of the functional equations that have the qua-dratic property", pp.126~137
  9. "Asymptotic behavior of mixed type functional equations", pp.1~21
  10. "On the stability of the quadratic functional equation and its aplicat-tions On the stability of unctional equationsin Banach spaces On the stability of unctional equationsand a problem of Ulam A characterization of iner product spaces", pp.89 264 23 1306 37 37~124 284 130 1312 389 389, Univ

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