Combined with the definition of difference operator,the unified form of quadratic,cubic and quartic functional equations is given,which makes this new functional equation include the conclusions of Kayal,Tamilvanan and Alkhaldi,et al.Then,the Hyers-Ulam stability of the functional equation on Banach space is studied by using classical direct method and fixed point method.Finally,the stability results of known quadratic,cubic and quartic functional equations are improved and generalized by applying the conclusions.
关键词
Hyers-Ulam稳定性/直接法/不动点法/Banach空间
Key words
Hyers-Ulam stability/direct method/fixed point method/Banach space
维普
万方数据