On Approximation of Some Mixed Functional Equations
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 1)Publication Date: 2021-02-01
Authors : Abbas Najati; Batool Noori; Mohammad Bagher Moghimi;
Page : 35-46
Keywords : Hyers-Ulam stability; Additive; Quadratic; Drygas; Functional equation; Lebesgue measure zero; Pexider equation;
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).]
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Last modified: 2021-11-03 14:31:28