Abstract：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.
韩 玥,成立花. 一类泛函方程的广义Hyers-Ulam稳定性[J]. 华中师范大学学报(自然科学版), 2024, 58(3): 310-314.
HAN Yue,CHENG Lihua. Generalized Hyers-Ulam stability for a class of functional equation. journal1, 2024, 58(3): 310-314.
2024, Vol. 58 
