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A generalization of the Hyers-Ulam-Rassias stability of a functional equation of Davison

전길웅|Yang-Hi Lee|Soon-Mo Jung
대한수학회 (The Korean Mathematical Society)|2004.05|대한수학회지 (Journal of the KMS)|제41권 제3호|pp. 501-511

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주제분류수학

초록

Abstract

We prove the Hyers-Ulam-Rassias stability of the Davison functional equation f(xy) + f(x + y) = f(xy + x) + f(y) for a class of functions from a ring into a Banach space and we also investigate the Davison equation of Pexider type.

참고문헌 (17)

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  7. "Stability of Functional Equations inSeveral Variables" (1998), B i r k h ¨auser
  8. "Hyers-Ulam-Rassias stability of unctional equations", 6, pp.541~556 (1997)
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  11. "A Generalization of the Hyers-Ulam-Rassias Sta-bility of Pexider Equation", 246, pp.627~638 (2000)
  12. "A Note on the Hyers-Ulam-Rassias Stability of Pexider Equation", 37, pp.111~124 (2000)
  13. "On the Stability of Approximately Additive Mappings", 128, pp.1361~1369 (2000)
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  15. "On a modied Hyers-Ulam sequence", 158 (1991)
  16. "On the Hyers-Ulam stability of linear mappings", 173 (1993)
  17. "Problems in Modern Mathematics", vi (1960)

관련 논문AI추천

On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation김학만, 전길웅, Don O Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호On the Hyers-Ulam stability of a generalized quadratic and additive functional equation김학만, 전길웅대한수학회 · 대한수학회보2005 · 제42권 제1호The Modified Hyers-Ulam-Rassias Stability of a Mixed Type Functional Equation박규홍한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제1호Hyers-Ulam-Rassias stability of a quadratic functional equationTiberiu Trif대한수학회 · 대한수학회보2003 · 제40권 제2호Hyers-Ulam-Rassias Stability of a Cubic Functional EquationAbbas Najati대한수학회 · 대한수학회보2007 · 제44권 제4호Hyers-Ulam-Rassias Stability of a Quadratic Functional EquationHARK-MAHN KIM, ICK-SOON CHANG경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호

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