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A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, II

Yang-Hi Lee|Kil-Woung Jun
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 91-103

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Abstract

In this paper we prove the HyersUlamRassias stability by considering thecases that the approximate remainder' is dened byf(xy)+ f(xy1) 2g(x) 2g(y) ='(x;y), f(x y) + g(x y1) 2h(x) 2k(y) = '(x;y), where (G;) is a group,X is areal or complex Hausdor topological vector space andf;g;h;kare functions fromG into X.

참고문헌 (22)

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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 제2호A note on the Hyers-Ulam-Rassias stability of a quadratic equation강지형, 이양희, 이창주대한수학회 · 대한수학회보2004 · 제41권 제3호On the Hyers-Ulam-Rassias stability of a modified additive and quadratic functional equation김학만, 전길웅, Don O Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호On the Hyers-Ulam stability of a generalized quadratic and additive functional equation김학만, 전길웅대한수학회 · 대한수학회보2005 · 제42권 제1호Hyers-Ulam-Rassias stability of a quadratic type functionalequation전길웅, Sang Han Lee대한수학회 · 대한수학회보2003 · 제40권 제2호

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