
doi: 10.1155/2016/5636101
The Hyers-Ulam-Rassias stability of quadratic functional equationf(2x+y)+f(2x-y)=f(x+y)+f(x-y)+6f(x)and orthogonal stability of the Pexiderized quadratic functional equationf(x+y)+f(x-y)=2g(x)+2h(y)inF-spaces are proved.
QA1-939, Stability, separation, extension, and related topics for functional equations, Functional equations for functions with more general domains and/or ranges, orthogonal stability, Hyers-Ulam-Rassias stability, pexiderized quadratic functional equation, \(F\)-spaces, quadratic functional equation, Mathematics
QA1-939, Stability, separation, extension, and related topics for functional equations, Functional equations for functions with more general domains and/or ranges, orthogonal stability, Hyers-Ulam-Rassias stability, pexiderized quadratic functional equation, \(F\)-spaces, quadratic functional equation, Mathematics
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