山西大学学报(自然科学版)2012,Vol.35Issue(3):433-439,7.
泛函不等式的Hyers-Ulam-Rassias稳定性
On the Hyers-Ulam-Rassias Stability of a Functional Inequality
摘要
Abstract
The Hyers-Ulam-Rassias stability of a functional inequality f(y) + 2f(z)- f(z-x-y/2)=≤ f(z+x+y/2) is proved, which is associated with the Cauchy-Jensen additive type mapping.关键词
Hyers-Ulam-Rassias稳定性/泛函不等式/可加映射Key words
Hyers-Ulam-Rassias stability/functional inequality/additive mapping分类
数理科学引用本文复制引用
玉强,郭艳平,吴保卫..泛函不等式的Hyers-Ulam-Rassias稳定性[J].山西大学学报(自然科学版),2012,35(3):433-439,7.基金项目
国家自然科学基金(10971123) (10971123)
陕西省自然科学基础研究计划项目(SJ08A20) (SJ08A20)