Title of article :
On Approximation of Some Mixed Functional Equations
Author/Authors :
Najati ، Abbas Department of Mathematics - Faculty of Sciences - University of Mohaghegh Ardabili , Noori ، Batool Department of Mathematics - Faculty of Sciences - University of Mohaghegh Ardabili , Moghimi ، Mohammad Bagher Department of Mathematics - Faculty of Sciences - University of Mohaghegh Ardabili
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 / 2φ(x + y) + φ(x - y) = 3φ(x)+ 3φ(y) \ 2ψ(x + y) + ψ(x - y) = 3ψ(x) + 2ψ(y) + ψ(-y). We also consider the Pexider type functional equation / 2ψ(x + y) + ψ(x - y) = f(x) + g(y), and the additive functional equation 2ψ(x + y) + ψ(x - y) = 3ψ(x) + ψ(y).
Keywords :
Hyers , Ulam stability , Additive , Quadratic , Drygas , Functional equation , Lebesgue measure zero , Pexider equation
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis