Solution and stability of a new reciprocal type functional equation

Authors

  • Idir Sadani Mouloud Mammeri university

Keywords:

Reciprocal functional equation, Hyers-Ulam stability, general solution, direct method

Abstract

The aim of this paper is to obtain the general solution of a reciprocal functional equation of the form
\begin{equation*}\frac{1}{f(x+u,y+v)}=\frac{1}{2f(2x+y,2u+v)}+\frac{1}{2f(y,v)}\end{equation*}
and investigate its generalized Hyers-Ulam stability.

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Published

2022-06-21

Issue

Vol. 5 No. 1 (2022): BJAMI

Section

Articles

How to Cite

Solution and stability of a new reciprocal type functional equation. (2022). Balkan Journal of Applied Mathematics and Informatics, 5(1), 93-100. https://js.ugd.edu.mk/index.php/bjami/article/view/4832