Dongyan Zhang and Jian Wang Information Engineering University and Fujian Normal University
Abstract : J. Wang [21] proposed a problem: whether the Hyers-Ulam-Rassias stability of Jensen's equation for the case $p,q,r,s\in(\beta,\frac{1}{\beta})\setminus\lbrace1\rbrace$ holds or not under the assumption that $G$ and $E$ are $\beta$-homogeneous $F$-space ($0 <\beta_1,\beta_2\leq1)$.