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Information Journal Paper

Title

On Approximation of Some Mixed Functional Equations

Pages

  35-46

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\[2\psi(x + y) + \psi(x - y) = 3\psi(x) + \psi(y).\]

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