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arXiv · 2407.20568

Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean $(n, \beta)$ Normed Spaces

Koushika Dhevi Sankar·Sangeetha Sampath
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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 $(n, \beta)$ normed spaces.

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Koushika Dhevi Sankar, Sangeetha Sampath. 2024-07-30. Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean $(n, \beta)$ Normed Spaces. https://arxiv.org/abs/2407.20568

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