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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jae-Hyeong Bae & Mohammad Amin Tareeghee & Abbas Najati, 2022. "Stability of a Bi-Jensen Functional Equation on Restricted Unbounded Domains and Some Asymptotic Behaviors," Mathematics, MDPI, vol. 10(14), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2432-:d:861084
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