矩阵赋$\beta$-范空间中泛函方程的稳定性

On the Stability of the Functional Equation in Matrix $\beta$-Normed Spaces

中文关键词:  矩阵赋$\beta$-范空间  稳定性  可加二次方程  Pexider型方程

英文关键词:matrix $\beta$-normed spaces  stability  additive-quadratic functional equation  Pexider equation

中文摘要:

      文中我们定义了矩阵赋$\beta$-范空间,并在此空间中证明了可加二次方程和Pexider型方程的稳定性.

英文摘要:

      In this paper we introduce the matrix $\beta$-normed space and study the stability of the additive-quadratic type functional equation and the Pexider type functional equation in this type of spaces.