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

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

Jae Hyeong Bae
, Mohammad Amin Tareeghee
, Abbas Najati

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	2432
Journal	Mathematics
Volume	10
Issue number	14
DOIs	https://doi.org/10.3390/math10142432
Publication status	Published - Jul 2022

Bibliographical note

Publisher Copyright:
© 2022 by the authors.

Keywords

Hyers–Ulam stability
asymptotic behavior
bi-Jensen function
functional equation
ε-bi-Jensen function

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10.3390/math10142432

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title = "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.",

keywords = "Hyers–Ulam stability, asymptotic behavior, bi-Jensen function, functional equation, ε-bi-Jensen function",

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doi = "10.3390/math10142432",

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AU - Bae, Jae Hyeong

AU - Tareeghee, Mohammad Amin

AU - Najati, Abbas

PY - 2022/7

Y1 - 2022/7

N2 - 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.

AB - 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.

KW - Hyers–Ulam stability

KW - asymptotic behavior

KW - bi-Jensen function

KW - functional equation

KW - ε-bi-Jensen function

UR - https://www.scopus.com/pages/publications/85136982137

U2 - 10.3390/math10142432

DO - 10.3390/math10142432

M3 - Article

AN - SCOPUS:85136982137

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 14

M1 - 2432

ER -

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

Abstract

Bibliographical note

Keywords

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