Further stability results 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))

2022/05/05 by Sadani, Idir
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2205.02804

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of the following reciprocal 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 non-Archimedean space using a direct method.

Related

• Stability of a new generalized reciprocal type functional equation
• Stability of a functional equation deriving from quartic and additive functions
• Stability of a functional equation deriving from cubic and quartic functions
• Stability of cubic and quartic functional equations in non-Archimedean spaces
• Stability of a mixed type quadratic, cubic and quartic functional equation