More on stability of two functional equations

• Date: 2023
• Main Authors: Sun, Longfa, Dong, Yunbai
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7121
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 We prove the generalized stability of the functional equations $\|f(x+y)\|=\|f(x)+f(y)\|$ and $\|f(x-y)\|= \|f(x)-f(y)\|$ in $p$-uniformly convex spaces with $p\geq 1.$