논문KCI 등재
On the Hyers-Ulam-Rassias Stability of a General Quartic Functional Equation
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초록
In this paper, we investigate Hyers-Ulam-Rassias stability of the general quartic functional equation f(5x+y)−5f(4x+y)+10f(3x+y)−10f(2x+y)+5f(x+y)−f(y) = 0.
Abstract
In this paper, we investigate Hyers-Ulam-Rassias stability of the general quartic functional equation f(5x+y)−5f(4x+y)+10f(3x+y)−10f(2x+y)+5f(x+y)−f(y) = 0.
참고문헌 (8)
- J. Baker, "A general functional equation and its stability", Proc. Natl. Acad. Sci, 133(6), pp.1657~1664 (2005)
- P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately ad-ditive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
- K. -W. Jun, "On the Hyers-Ulam-Rassias stability of a general cubic functional equation", Math. Inequal. Appl, 6, pp.289~302 (2003)
- Y. -H. Lee, "On the generalized Hyers-Ulam stability of the generalized polynomial function of degree 3", Tamsui Oxford Journal of Mathematical Sciences, 24(4), pp.429~444 (2008)
- Yang-Hi Lee, "ON THE HYERS-ULAM-RASSIAS STABILITY OF THE GENERALIZED POLYNOMIAL FUNCTION OF DEGREE 2", 충청수학회지, 22(2), pp.201~209 (2009), 충청수학회
- Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
- S.M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience
관련 논문AI추천
Hyers-Ulam-Rassias Stability of an Additive-Quartic, a Quadratic-Quartic, and a Cubic-Quartic Functional Equation이양희, 진선숙영남수학회 · East Asian Mathematical Journal2020 · 제36권 제1호On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호Hyers-Ulam-Rassias stability of a quadratic-cubic-quartic functional equation이양희강원경기수학회 · 한국수학논문집2020 · 제28권 제2호STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONSMadjid Eshaghi Gordji대한수학회 · 대한수학회보2010 · 제47권 제3호On the Stability of a Quadratic Functional EquationJae-Hyeong Bae, Kil-Woung Jun, Soon-Mo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호Stability of Quartic Mappings in Non-Archimedean Normed SpacesAlireza Kamel Mirmostafaee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호
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