Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean $(n, \beta)$ Normed Spaces
Functional Analysis
2024-07-31 v1
Abstract
In this paper, we discuss the Hyers-Ulam stability of mixed-type additive-cubic Jensen functional equation \begin{align*} 2\mathcal{F}\left(\frac{2u+v}{2}\right)+2\mathcal{F}\left(\frac{2u-v}{2}\right)=\frac{1}{4}[\mathcal{F}(u+v)+\mathcal{F}(u-v)]+3\mathcal{F}(u) \end{align*} in non-Archimedean normed spaces.
Keywords
Cite
@article{arxiv.2407.20568,
title = {Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean $(n, \beta)$ Normed Spaces},
author = {Koushika Dhevi Sankar and Sangeetha Sampath},
journal= {arXiv preprint arXiv:2407.20568},
year = {2024}
}
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8 pages