科研之友
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摘要
In this paper, we establish the general solution and investigate the generalized Hyers-Ulam stability of the following mixed additive and quadratic functional equation: f(kx + ly) + f(kx - ly) = f(kx) + f(x) + 1/2(k - 1)[(k + 2) f(x) + kf(-x)] + l(2)[f(y) + f(-y)] (k, l is an element of Z\{0}) in beta-Banach modules on a Banach algebra. In addition, we show that under some suitable conditions, an approximately mixed additive-quadratic function can be approximated by a mixed additive and quadratic mapping.
- 出版日期2012
- 单位北京理工大学
