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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
Full-Text: https://www.mdpi.com/2227-7390/10/14/2432/pdf
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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
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Mathematics
Article . 2022
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Stability of a Bi-Jensen Functional Equation on Restricted Unbounded Domains and Some Asymptotic Behaviors

descriptionPublicationkeyboard_double_arrow_right Article 12 Jul 2022 English Publisher:MDPI AGJournal:Mathematics, volume 10, page 2,432 (eissn: 2227-7390, Copyright policy )
Authors: Jae-Hyeong Bae; Mohammad Amin Tareeghee; Abbas Najati;

doi: 10.3390/math10142432

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

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.

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Keywords

Hyers–Ulam stability, bi-Jensen function, QA1-939, functional equation, asymptotic behavior, Mathematics, ε-bi-Jensen function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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