On Asymptotic Behavior of a 2-Linear Functional Equation

被引：0

作者：

Bae, Jae-Hyeong ^{[1
]}

Moghimi, Mohammad B. ^{[2
]}

Najati, Abbas ^{[2
]}

Noori, Batool ^{[2
]}

机构：

[1] Kyung Hee Univ, Humanitas Coll, Yongin 17104, South Korea

[2] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran

来源：

MATHEMATICS | 2022年 / 10卷 / 10期

关键词：

Hyers-Ulam stability; 2-linear functional equation; asymptotic behavior; 2-Banach space; STABILITY;

D O I：

10.3390/math10101685

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with a 2-linear functional equation. The Hyers-Ulam stability of this functional equation is shown on some restricted unbounded domains, and the obtained results are applied to get several hyperstability consequences. Moreover, some asymptotic behaviors of 2-linear functions are investigated. We also study the Hyers-Ulam stability and superstability of the 2-linear functional equation in 2-Banach spaces.

引用

页数：10

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