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arXiv · 2203.03632

On the stability of orthogonally Jensen additive and quadratic functional equation

Linlin Fu·Qi Liu·Yongjin Li
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Abstract

We consider the stability of the orthogonal Jensen additive and quadratic equations in $F$-spaces, through applying and extending the approach to the proof of a 2010 result of W.Frchner and J.Sikorska, we presenting a new method to get the stability. Moreover, we work in a more general and natural condition than considered before by other antuors.

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Linlin Fu, Qi Liu, Yongjin Li. 2022-03-07. On the stability of orthogonally Jensen additive and quadratic functional equation. https://arxiv.org/abs/2203.03632

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