一类可加和二次混合泛函方程的稳定性

On the Stability of a Mixed Functional Equations Deriving from Additive Mappings and Quadratic Mappings

本文研究了一类新的源自可加映射和二次映射的混合泛函方程f(x+2y)+f(x-2y)=f(x+y)+f(x-y)+3f(2y)-6f(y),及其在拟β赋范线性空间中的Hyers-Ulam稳定性.

We introduce a new class of functional equationsf（x＋2y）＋f（x-2y）=f（x＋y）＋f（x-y）＋3f（2y）-6f（y）deriving from additive mappings and quadratic mappings and consider its Hyers-Ulam stability on quasi-β-normed linear spaces.