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.
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收藏
页数：7
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