@article{Tareeghee2022, 
author = {Mohammad Amin Tareeghee and Abbas Najati and Batool Noori and Choonkil Park},
title = {Asymptotic behavior of a generalized functional equation},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {7001-7011},
keywords = {Hyers-Ulam stability, quadratic functional equation, asymptotic behavior},
url = {https://www.sciopen.com/article/10.3934/math.2022389},
doi = {10.3934/math.2022389},
abstract = {In this paper, we investigate the Hyers-Ulam stability problem of the following functional equation     f  (  x  +  y  )  +  g  (  x  −  y  )  =  h  (  x  )  +  k  (  y  )  ,on an unbounded restricted domain, which generalizes some of the results already obtained by other authors (for example [9,Theorem 2], [11,Theorem 5] and [21,Theorem 2]). Particular cases of this functional equation are Cauchy, Jensen, quadratic and Drygas functional equations. As a consequence, we obtain asymptotic behaviors of this functional equation.}
}