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On the solution of a bi-Jensen functional equation and its stability

박원길|배재형
대한수학회 (The Korean Mathematical Society)|2006.08|대한수학회보 (Bulletin of the KMS)|제43권 제3호|pp. 499-507

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Abstract

In this paper, we obtain the general solution and thestability of the bi-Jensen functional equation4fx + y2;z + w2= f(x;z) + f(x;w) + f(y;z) + f(y;w):

참고문헌 (8)

  1. "Functional equations in several variables" (1989), Cambridge Univ. Press
  2. "A generalization of the Hyers-Ulam-Rassias stability of approximatelyadditive mappings", pp.436~ (1994)
  3. "On the stability of the linear functional equation", 27, pp.222~224 (1941)
  4. "Stability of a quadratic Jensen type functional equation", 9(1), pp.399~399 (2002)
  5. "On the stability of a quadratic Jensen type functional equation", 270(2), pp.590~601 (2002)
  6. "Stability of a generalized quadratic functional equation with Jensen type", 42(1), pp.57~73 (2005)
  7. "On the stability of the linear mappings in Banach spaces", pp.297~ (1978)
  8. "A Collection of Mathematical Problems" (1960), Interscience Publishers 1960. Interscience Publishers

관련 논문AI추천

On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation이양희, 전길웅, 한미현경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호Stability of a generalized quadratic functional equation with Jensen type이영환대한수학회 · 대한수학회보2005 · 제42권 제1호On the stability of a Jensen type functional equation on groupsPrasanna K. Sahoo, Valeriy A. Fauiziev대한수학회 · 대한수학회보2005 · 제42권 제4호On 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 제3호

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