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On the Stability of Orthogonally Cubic Functional Equations

Mohammad Sal Moslehian|Choonkil Baak
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 69-76

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Abstract

Letf denote a mapping from an orthogonality space (X;? ) into a real Banachspace Y. In this paper, we prove the HyersUlamRassias stability of the orthogonallycubic functional equations f(2x + y) + f(2x y) = 2 f(x + y) + 2 f(x y) + 12 f(x) andf(x + y +2 z)+ f(x + y 2z)+ f(2x)+ f(2y) = 2 f(x + y)+4 f(x + z)+4 f(x z)+4 f(y +z) + 4 f(y z), wherex ? y;y? z;x? z.

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관련 논문AI추천

Hyers-Ulam-Rassias Stability of a Cubic Functional EquationAbbas Najati대한수학회 · 대한수학회보2007 · 제44권 제4호On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호Stability of a cubic functional equation on groups박규홍, 정용수대한수학회 · 대한수학회보2004 · 제41권 제2호On the Stability of the Cosine Type Functional Equation김광휘한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제1호On the Stability of the generalized $G$-type functional equationsGwang Hui Kim대한수학회 · 대한수학회논문집2005 · 제20권 제1호Hyers-Ulam-Rassias Stability of a Quadratic Functional EquationHARK-MAHN KIM, ICK-SOON CHANG경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호

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