논문KCI 등재
Stability of a cubic functional equation on groups
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Abstract
In this note we will find out the general solution and investigatethe generalized Hyers-Ulam-Rassias stability for the cubicfunctional equation f(3x+y)+f(3x-y) =3f(x+y)+3f(x-y)+48f(x) onabelian groups.
참고문헌 (14)
- "newblock Functional equations in several variables" (1989), newblock Cambridge Univ. Press
- "newblock The stability of the cosine equation", 80(3), pp.411~ (1980)
- "newblock Remarks on the stability offunctional equations", 27(1-2), pp.76~ (1984)
- "newblock On the stability of thequadratic mapping in normed spaces", 62, pp.59~ (1992)
- "newblock Characterizations of inner product spaces" (1986)
- "newblock A generalization of the Hyers-Ulam-Rassias stability ofapproximately additive mappings", 184(3), pp.431~ (1994)
- "newblock On the stability of the linear functional equation", 27, pp.222~ (1941)
- "newblock Stability of functional equations in several variables,newblock Birkh" (1998)
- "Jordan and J. Von Neumann newblock On inner products in linear newblock Ann. of Math. 36", pp.719~ (1935)
- "newblock On the Hyers-Ulam stability ofthe functional equations that have the quadratic property,newblock", 222(1), pp.126~137 (1998)
- "newblock On the stabilityof the functional equation ff(x+y+xy)=f(x)+f(y)+xf(y)+yf(x)", pp.659~ (2002)
- "newblock Quadratic functionalequation and inner product spaces", 27(3-4), pp.368~372 (1995)
- "newblock On the stability of the linearmapping in Banach spaces", 72(2), pp.297~ (1978)
- "newblock Problems in modern mathematics", vi (1964)
관련 논문AI추천
On the stability of a Jensen type functional equation on groupsPrasanna K. Sahoo, Valeriy A. Fauiziev대한수학회 · 대한수학회보2005 · 제42권 제4호Hyers-Ulam-Rassias Stability of a Cubic Functional EquationAbbas Najati대한수학회 · 대한수학회보2007 · 제44권 제4호On the Stability of Orthogonally Cubic Functional EquationsChoonkil Baak, Mohammad Sal Moslehian경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호The Hyers-Ulam stability of the quadratic functional equations on abelian groups배재형, 정용수대한수학회 · 대한수학회보2002 · 제39권 제2호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호On the Stability of the generalized $G$-type functional equationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제1호
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