Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces

被引：2

作者：

Alessa, Nazek ^{[1
]}

Tamilvanan, K. ^{[2
]}

Loganathan, K. ^{[3
]}

Karthik, T. S. ^{[4
]}

Rassias, John Michael ^{[5
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Dept Math Sci, Fac Sci, Riyadh, Saudi Arabia

[2] Govt Arts Coll Men, Dept Math, Krishnagiri 635001, Tamil Nadu, India

[3] Live4Research, Res & Dev Wing, Tiruppur 638106, Tamil Nadu, India

[4] Aditya Coll Engn & Technol, Dept Elect & Commun Engn, Surampalem 533437, Andhra Pradesh, India

[5] Natl & Kapodistrian Univ Athens, Pedag Dept Math & Informat, 4 Agamemnonos Str, Aghia Paraskevi 15342, Attikis, Greece

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

HYERS-ULAM STABILITY; APPROXIMATELY LINEAR MAPPINGS;

D O I：

10.1155/2021/5577833

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-beta-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.

引用

页数：7

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