Stability of a Bi-Jensen Functional Equation on Restricted Unbounded Domains and Some Asymptotic Behaviors

Jae-Hyeong Bae, Mohammad Amin Tareeghee and Abbas Najati
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Jae-Hyeong Bae: Humanitas College, Kyung Hee University, Yongin 17104, Korea
Mohammad Amin Tareeghee: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
Abbas Najati: Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

Mathematics, 2022, vol. 10, issue 14, 1-14

Abstract: In this paper, we give some properties of the bi-Jensen functional equation and investigate its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is not continuous. Additionally, we investigate the Hyers–Ulam stability of the bi-Jensen functional equation on some restricted unbounded domains. Finally, we apply the obtained results to study some interesting asymptotic behaviors of bi-Jensen functions.

Keywords: Hyers–Ulam stability; functional equation; bi-Jensen function; ?-bi-Jensen function; asymptotic behavior (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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