@article {
author = {Najati, Abbas and Noori, Batool and Moghimi, Mohammad Bagher},
title = {On Approximation of Some Mixed Functional Equations},
journal = {Sahand Communications in Mathematical Analysis},
volume = {18},
number = {1},
pages = {35-46},
year = {2021},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2020.127585.801},
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 = {Hyers-Ulam stability,Additive,Quadratic,Drygas,Functional equation,Lebesgue measure zero,Pexider equation},
url = {https://scma.maragheh.ac.ir/article_46665.html},
eprint = {https://scma.maragheh.ac.ir/article_46665_3ce38b61e7b850642214401464923acf.pdf}
}