广义二次函数方程在模糊赋范空间上的Hyers-Ulam稳定性
Journal of Yanbian University(Natural Science)(2014)
Abstract
讨论了在模糊赋范空间下广义二次函数方程(4-k)f(k∑i=1xi)+k∑j=1f((k∑i=1,i≠jxi)-xj)=4k∑i=1f(xi),k≥3的Hyers-Ulam函数方程稳定性,指出在满足适当条件下按照模糊范数逼近的广义二次函数方程一定存在逼近的广义二次映射,从而拓宽了函数方程稳定性定理的研究领域.
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