ar X iv : m at h / 04 12 47 5 v 2 [ m at h . FA ] 1 2 Fe b 20 05 On the Orthogonal Stability of the Pexiderized Quadratic Equation ∗
نویسنده
چکیده
The Hyers–Ulam stability of the conditional quadratic functional equation of Pexider type f(x + y) + f(x − y) = 2g(x) + 2h(y), x ⊥ y is established where ⊥ is a symmetric orthogonality in the sense of Rätz and f is odd. ∗2000 Mathematics Subject Classification. Primary 39B52, secondary 39B82.
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