3 papers
math.FA2022
On the stability of orthogonally Jensen additive and quadratic functional equation
Linlin Fu, Qi Liu, Yongjin Li
We consider the stability of the orthogonal Jensen additive and quadratic equations in -spaces, through applying and extending the approach to the proof of a 2010 result of W.Fr…
math.FA2022
Ulam stability of an additive-quadratic functional equation in F-space and quasi-Banach spaces
Linlin Fu, Qi Liu, Yongjin Li
By adopting the direct method and fixed point method, we prove that the Hyers-Ulam stability of the following additive-quadratic functional equation \begin{equation} f(x+y, z+w)+f(…
math.FA2022
On the stability of orthogonal additivity in -homogeneous -spaces and quasi-Banach spaces
Qi Liu, Linlin Fu, Yongjin Li
In this paper, we study the stability of the orthogonal equation,which is closely related to the results by Wlodzimierz Fechner and Justyna Sikorska in 2010. There are some differe…