论文标题

功能方程的进一步稳定性结果$ f(2x+y)+f \ left(\ frac {x+y} {2} {2} \ right)= \ frac {2f(x)f(y)} {f(x)+f(x)+f(y)+f(y)}+\ frac+\ frac {2f(x+y)f(x+y)f(x+y)f(y-x)

Further stability results of the functional equation $f(2x+y)+f\left(\frac{x+y}{2}\right) =\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}$

论文作者

Sadani, Idir

论文摘要

在本文中,我们研究了以下相互函数方程的广义hyers-ulam稳定性\ begin {equation*} f(2x+y)+f \ left(\ frac {x+y} {2} {2} \ right) = \ frac {2f(x)f(y)} {f(x)+f(x)+f(y)}+\ frac {2f(x+y)f(y-x)} {3f(y-x)-f(y-x)-f(x+y)} \ end endean {eark eent {equination*}在非Archimeanean Space中使用直接方法。

In this paper, we investigate the generalized Hyers-Ulam stability of the following reciprocal functional equation \begin{equation*}f(2x+y)+f\left(\frac{x+y}{2}\right) =\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}\end{equation*} in non-Archimedean space using a direct method.

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