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Bull. Korean Math. Soc. 2009; 46(4): 645-656
Printed July 1, 2009
https://doi.org/10.4134/BKMS.2009.46.4.645
Copyright © The Korean Mathematical Society.
On the Hyers-Ulam-Rassias stability of Jensen's equation
Dongyan Zhang and Jian Wang
Information Engineering University and Fujian Normal University
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 ($0 <\beta_1,\beta_2\leq1)$.
Keywords: Hyers-Ulam-Rassias stability, Jensen's functional equation
MSC numbers: 39B72
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