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On Approximation of Some Mixed Functional Equations

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 1)

Publication Date:

Authors : ; ; ;

Page : 35-46

Keywords : Hyers-Ulam stability; Additive; Quadratic; Drygas; Functional equation; Lebesgue measure zero; Pexider equation;

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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*}   2varphi(x + y) + varphi(x - y) &= 3varphi(x)+ 3varphi(y)    2psi(x + y) + psi(x - y) &= 3psi(x) + 2psi(y) + psi(-y). end{align*} We also consider the Pexider type functional equation [2psi(x + y) + psi(x - y) = f(x) + g(y),] and the additive functional equation [2psi(x + y) + psi(x - y) = 3psi(x) + psi(y).]

Last modified: 2021-11-03 14:31:28