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On the solution and stability of the quadratic type functional equations

이은휘
대한수학회 (The Korean Mathematical Society)|2004.07|대한수학회논문집 (Communications of the KMS)|제19권 제3호|pp. 477-493

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Abstract

In this paper we prove the solution and stability of the quadratic type functional equations with two variables 4f((x - 2y)/2)+ f(x) + 2f(y) = 8f((x-2y)/2)+ f(2y) and f(x-2y) + f(x) + 2f(y) = 2f(x-y) + f(2y).

참고문헌 (6)

  1. "On the stability problem of a quadratic Functional Equations", 8, pp.561~567 (2001)
  2. "On the stability of the linear functional equation", 27, pp.222~224 (1941)
  3. "On the stability of the linear mapping in Banach spaces", 72, pp.297~300 (1978)
  4. "Stability of a quadratic Jensen Type functional equation", 27, pp.590~601 (2002)
  5. "Hyers-Ulam-Rassias stability of a quadratic type func-tional equation", 40(2), pp.183~193 (2003)
  6. "Problem in Modern Mathematics", chapter vi (1964)

관련 논문AI추천

A fixed point approach to the stability of quadratic functional equation김태수, 이기석, 정순모대한수학회 · 대한수학회보2006 · 제43권 제3호Hyers-Ulam-Rassias stability of a quadratic type functionalequation전길웅, Sang Han Lee대한수학회 · 대한수학회보2003 · 제40권 제2호Hyers-Ulam-Rassias Stability of a Quadratic Functional EquationHARK-MAHN KIM, ICK-SOON CHANG경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호Hyers-Ulam-Rassias stability of a quadratic functional equationTiberiu Trif대한수학회 · 대한수학회보2003 · 제40권 제2호On the Hyers-Ulam stability of a generalized quadratic and additive functional equation김학만, 전길웅대한수학회 · 대한수학회보2005 · 제42권 제1호On the stability of a Pexiderized mixed type quadratic functional equation II이양희, 이진희, 전길웅대한수학회 · 대한수학회보2007 · 제44권 제3호

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