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A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION
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 Title & Authors
A NOTE ON THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC EQUATION
Kang, Jie-Hyung; Lee, Chang-Ju; Lee, Yang-Hi;
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 Abstract
In this paper we prove the Hyers-Ulam-Rassias stability by considering the cases that the approximate remainder is defined by (x * y) + (x * ) - 2 (x) - 2 (y) =<(x,y), (x*y*z)+ (x)+ (y)+ (z)- (x*y)- (y*z)- (z*x)=(x, y, z), where (G,*) is a group, X is a real or complex Hausdorff topological vector space, and is a function from G into X.
 Keywords
quadratic function;
 Language
English
 Cited by
1.
ON FUNCTIONAL INEQUALITIES ASSOCIATED WITH JORDAN-VON NEUMANN TYPE FUNCTIONAL EQUATIONS,;

대한수학회논문집, 2008. vol.23. 3, pp.371-376 crossref(new window)
1.
Elementary remarks on Ulam–Hyers stability of linear functional equations, Journal of Mathematical Analysis and Applications, 2007, 328, 1, 109  crossref(new windwow)
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