On the stability of an additive and quadratic functional equation

초록

In Park et al. (J. Chungcheong Math. Soc. 21:455-466, 2008) considered the following Jensen additive and quadratic type functional equation (Formula Presented) In this paper, we investigate the following additive and quadratic functional equation 2f (x +y)+ f (x ? y)+f (y ?x) = 3f (x) +f (?x)+3f (y)+ f (?y). (34.1) Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (34.1) in Banach spaces.

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