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Hyers-Ulam-Rassias Stability of a Cubic Functional Equation

Abbas Najati
대한수학회 (The Korean Mathematical Society)|2007.11|대한수학회보 (Bulletin of the KMS)|제44권 제4호|pp. 825-840

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주제분류수학

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Abstract

In this paper, we will nd out the general solution and in-vestigate the generalized HyersUlamRassias stability problem for thefollowing cubic functional equation3f(x + 3 y) + f(3x y) = 15 f(x + y) + 15 f(x y) + 80 f(y):The concept of Hyers-Ulam-Rassias stability originated from Th. M.Rassias’ stability theorem that appeared in his paper: On the stabilityof the linear mapping in Banach spaces, Proc. Amer. Math. Soc.72(1978), 297--300.

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관련 논문AI추천

Hyers-Ulam-Rassias Stability of a Quadratic Functional EquationHARK-MAHN KIM, ICK-SOON CHANG경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호Hyers-Ulam-Rassias stability of a quadratic functional equationTiberiu Trif대한수학회 · 대한수학회보2003 · 제40권 제2호Hyers-Ulam-Rassias stability of a quadratic type functionalequation전길웅, Sang Han Lee대한수학회 · 대한수학회보2003 · 제40권 제2호On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation김학만, 전길웅, Don O Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호The Modified Hyers-Ulam-Rassias Stability of a Mixed Type Functional Equation박규홍한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제1호A note on the Hyers-Ulam-Rassias stability of a quadratic equation강지형, 이양희, 이창주대한수학회 · 대한수학회보2004 · 제41권 제3호

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