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arXiv math/0412475math.FA

On the Orthogonal Stability of the Pexiderized Quadratic Equation

Mohammad Sal Moslehian

英文摘要:

The Hyers--Ulam stability of the conditional quadratic functional equation of Pexider type f(x+y)+f(x-y)=2g(x)+2h(y), x\perp y is established where \perp is a symmetric orthogonality in the sense of Ratz and f is odd.

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