More on stability of two functional equations

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 $p\geq 1.$

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal