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On the stability of a Cauchy-Jensen functional equation

조영선|이양희|전길웅
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 377-386

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참고문헌

키워드

stabilityfunctional equationCauchy-Jensen mapping
주제분류수학

초록

In this paper, we prove the stability of a Cauchy-Jensen functional equation 2f(x + y, z + w/2) = f(x, z) + f(x,w) + f(y, z) + f(y,w) in the sense of Th. M. Rassias.

Abstract

In this paper, we prove the stability of a Cauchy-Jensen functional equation 2f(x + y, z + w/2) = f(x, z) + f(x,w) + f(y, z) + f(y,w) in the sense of Th. M. Rassias.

참고문헌 (6)

  1. P. G˘avruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. and Appl, 184, pp.431~436 (1994)
  2. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
  3. 이양희, "On the Hyers-Ulam-Rassias stability of a Cauchy-Jensen functional equation", 충청수학회지, 20(2), pp.163~172 (2007), 충청수학회
  4. W.-G. Park, "On a Cauchy-Jensen functional equation and its stability", J. Math. Anal. Appl, 323, pp.634~643 (2006)
  5. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  6. S. M. Ulam, "A Collection of Mathematical Problems" (1968), Interscience

관련 논문AI추천

ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II이양희, 이주리, 전길웅한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION오정하, 이양희, 전길웅한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation이양희, 전길웅, 한미현경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION고훈, 김학만, 손은영한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호Hyers-Ulam Stability of Jensen Functional Equation in p- Banach Spaces김학만, 손은영, 전길웅경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제3호On the Stability of a Quadratic Functional EquationJae-Hyeong Bae, Kil-Woung Jun, Soon-Mo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호

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