논문KCI 등재
Hyers-Ulam-Rassias stability of a quadratic-cubic-quartic functional equation
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초록
In this paper, we investigate Hyers-Ulam-Rassias stability of a functional equation \begin{align*} f(&x +ky) + f(x-ky) - k^2f(x+y) - k^2f(x-y) \nonumber \\ &\ +2(k^2-1)f(x)+ (k^2+k^3)f(y)+ (k^2-k^3)f(-y)-2f(ky)=0. \end{align*}
Abstract
In this paper, we investigate Hyers-Ulam-Rassias stability of a functional equation \begin{align*} f(&x +ky) + f(x-ky) - k^2f(x+y) - k^2f(x-y) \nonumber \\ &\ +2(k^2-1)f(x)+ (k^2+k^3)f(y)+ (k^2-k^3)f(-y)-2f(ky)=0. \end{align*}
참고문헌 (6)
- 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 approxi-mately additive 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. U. S. A, 27, pp.222~224 (1941)
- M. E. Gordji, "General quartic-cubic-quadratic functional equation in non-Archimedean normed spaces", U. P. B. Sci. Bull. Series A, 72(3), pp.69~84 (2010)
- 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
On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호Hyers-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 a General Quartic Functional Equation이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호On the Stability of a Quadratic Functional EquationJae-Hyeong Bae, Kil-Woung Jun, Soon-Mo Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제3호STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONSMadjid Eshaghi Gordji대한수학회 · 대한수학회보2010 · 제47권 제3호Solution and stability of a functional equation deriving from additive, quadratic and quartic in quasi-Banach spaces박춘길, Mohammad Golestani, Norouz Ghobadipour강원경기수학회 · 한국수학논문집2025 · 제33권 제4호
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