On the stability of the functional equation $ f(2x+y)+f(((x+y) / (2))) =((2f(x)f(y)) / (f(x)+f(y)))+((2f(x+y)f(y-x)) / (3f(y-x)-f(x+y))) $

Year, pages: 2020, 71 - 80

The aim of this paper is to obtain the general solution %of to a reciprocal functional equation of the form \begin{equation*} f(2x+y)+f(((x+y) / (2))) =((2f(x)f(y)) / (f(x)+f(y)))+((2f(x+y)f(y-x)) / (3f(y-x)-f(x+y))) \end{equation*} and to investigate its generalized Hyers-Ulam-Rassias stability.

Sadani, I. 2020. On the stability of the functional equation $ f(2x+y)+f(((x+y) / (2))) =((2f(x)f(y)) / (f(x)+f(y)))+((2f(x+y)f(y-x)) / (3f(y-x)-f(x+y))) $. In Tatra Mountains Mathematical Publications, vol. 76, no.2, pp. 71-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0019

Sadani, I. (2020). On the stability of the functional equation $ f(2x+y)+f(((x+y) / (2))) =((2f(x)f(y)) / (f(x)+f(y)))+((2f(x+y)f(y-x)) / (3f(y-x)-f(x+y))) $. Tatra Mountains Mathematical Publications, 76(2), 71-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0019

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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