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ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION

이양희|오정하|전길웅
한국수학교육학회|2010.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제3호|pp. 231-247

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참고문헌

키워드

stabilityfunctional equationsolutionbi-Jensen mapping
주제분류수학

초록

In this paper, we investigate the generalized Hyers-Ulam stability of a bi-Jensen functional equation 4f(x + y 2;z + w 2) = f(x; z) + f(x;w) + f(y; z) + f(y;w):Also, we establish improved results for the stability of a bi-Jensen equation on the punctured domain.

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of a bi-Jensen functional equation 4f(x + y 2;z + w 2) = f(x; z) + f(x;w) + f(y; z) + f(y;w):Also, we establish improved results for the stability of a bi-Jensen equation on the punctured domain.

참고문헌 (15)

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  2. ICK-SOON CHANG, "Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation", Kyungpook Mathematical Journal, 42(1), pp.71~86 (2002), 경북대학교 자연과학대학 수학과
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  8. Pl. Kannappan, "Quadratic functional equation and inner product spaces", Results Math, 27, pp.368~372 (1995)
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  10. G.-H. Kim, "On the Hyers-Ulam stability of a bi-Jensen functional equation.s", AIP Conf. Proc, 통권 : 1046, pp.99~101 (2008)
  11. H.-M. Kim, "A result concerning the stability of some difference equations and its applications", Indian Acad. Sci. Math. Sci, 112, pp.453~462 (2002)
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  15. S. M. Ulam, "Collection of Mathematical Problems" (1960), Interscience Publ.

관련 논문AI추천

On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation이양희, 전길웅, 한미현경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제4호ON THE GENERALIZED HYERS-ULAM STABILITY OF THE CAUCHY-JENSEN FUNCTIONAL EQUATION II이양희, 이주리, 전길웅한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION고훈, 김학만, 손은영한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제2호On the stability of a Cauchy-Jensen functional equation이양희, 전길웅, 조영선대한수학회 · 대한수학회논문집2008 · 제23권 제3호Refined Stability Results of Functional Equation in Four Variables이순, 김학만경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호On 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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