Solution and Stability of a Functional Equation Originating From Consecutive Terms of a Geometric Progression
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Keywords:
Logarithmic functional equations, generalized Ulam- Hyers stabilityAbstract
In this paper, the author has proved the generalized Ulam-Hyers stability of a new type of the functional equation \begin{align*} \ell(uv)+\displaystyle{\ell\left(\frac{u}{v}\right)}=2\ell(u) \end{align*} with $v \ne 0$ which is originating from consecutive terms of a geometric progression. An application of this functional equation is also studied.
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