Document Type: Research Paper

Authors

Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.

Abstract

In this paper,  we have improved some of the results in [C. Choi and   B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math.  75  no. 1 (2020), Paper No. 38]. Indeed, we investigate the Hyers-Ulam stability problem of the following   functional equations
\begin{align*}
  2\varphi(x + y) + \varphi(x - y) &= 3\varphi(x)+ 3\varphi(y)  \\
  2\psi(x + y) + \psi(x - y) &= 3\psi(x) + 2\psi(y) + \psi(-y).
\end{align*}
We also consider the Pexider type functional equation \[2\psi(x + y) + \psi(x - y) = f(x) + g(y),\] and the additive functional equation
\[2\psi(x + y) + \psi(x - y) = 3\psi(x) + \psi(y).\]

Keywords

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