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ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II

이주리|이양희|전길웅
한국수학교육학회|2009.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제2호|pp. 167-178

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참고문헌

키워드

generalized Hyers-Ulam stabilityCauchy-Jensen functional equation.
주제분류수학

초록

In this paper, we obtain the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation f(x + y, z) - f(x, z) - f(y, z) = 0, 2f x, y + z/2 -f(x, y) - f(x,z) = 0 in the spirit of P. Gavruta.

Abstract

In this paper, we obtain the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation f(x + y, z) - f(x, z) - f(y, z) = 0, 2f x, y + z/2 -f(x, y) - f(x,z) = 0 in the spirit of P. Gavruta.

참고문헌 (12)

  1. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
  2. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci, 27, pp.222~224 (1941)
  3. K.-W. Jun, "On the stability of a Cauchy-Jensen functional equation II.preprint", ~
  4. 이양희, "On the Hyers-Ulam-Rassias stability of a Cauchy-Jensen functional equation", 충청수학회지, 20(2), pp.163~172 (2007), 충청수학회
  5. 전길웅, "On the stability of a Cauchy-Jensen functional equation", 대한수학회논문집, 23(3), pp.377~386 (2008), 대한수학회
  6. S.-M. Jung, "Hyers-Ulam stability of linear differential equations of frst order", Appl.Math. Lett, 17, pp.1135~1140 (2004)
  7. H.-M. Kim, "On the stability problem for a mixed type of quartic and quadratic func-tional equation", J. Math. Anal. Appl, 324, pp.358~372 (2006)
  8. Y.-H. Lee, "Generalized Hyers-Ulam stability of a Cauchy-Jensen func-tional equation. preprint", ~
  9. C.-G. Park, "Linear functional equations in Banach modules over a C*-algebra", Acta Appl. Math, 77, pp.125~161 (2003)
  10. W.-G. Park, "On a Cauchy-Jensen functional equation and its stability", J.Math. Anal. Appl, 323, pp.634~643 (2006)
  11. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer.Math. Soc, 72, pp.297~300 (1978)
  12. S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience Publ

관련 논문AI추천

On the stability of a Cauchy-Jensen functional equation이양희, 전길웅, 조영선대한수학회 · 대한수학회논문집2008 · 제23권 제3호ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION오정하, 이양희, 전길웅한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호Hyers-Ulam Stability of Jensen Functional Equation in p- Banach Spaces김학만, 손은영, 전길웅경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION고훈, 김학만, 손은영한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation이양희, 전길웅, 한미현경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호ON THE STABILITY OF A JENSEN TYPE FUNCTIONAL EQUATION IN MULTI-NORMED SPACES박규홍, 정용수한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제2호

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