Representation and Stability of General Nonic Functional Equation

被引:4
作者
Chang, Ick-Soon [1 ]
Lee, Yang-Hi [2 ]
Roh, Jaiok [3 ]
机构
[1] Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea
[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 32553, South Korea
[3] Hallym Univ, Ilsong Liberal Art Sch Math, Chunchon 24252, South Korea
关键词
stability; hyperstability; general nonic functional equation; ULAM-RASSIAS STABILITY; HYPERSTABILITY;
D O I
10.3390/math11143173
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce a way of representing a given mapping as the sum of odd and even mappings. Then, using this representation, we investigate the stability of various forms of the following general nonic functional equation: n-ary sumation i=01010Ci(-1)10-if(x+iy)=0.
引用
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页数:19
相关论文
共 49 条
[31]   Some Remarks Concerning the General Octic Functional Equation [J].
Lee, Yang-Hi ;
Roh, Jaiok .
JOURNAL OF MATHEMATICS, 2023, 2023
[32]   On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation [J].
Lee, Yang-Hi .
MATHEMATICS, 2019, 7 (06)
[33]   Stability of a Monomial Functional Equation on a Restricted Domain [J].
Lee, Yang-Hi .
MATHEMATICS, 2017, 5 (04)
[34]   A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation [J].
Lee, YH ;
Jun, KW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 238 (01) :305-315
[35]   A generalization of the Hyers-Ulam-Rassias stability of the Pexider equation [J].
Lee, YH ;
Jun, KW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (02) :627-638
[36]  
Maksa G, 2001, Acta Math. Acad. Paedagog. Nyhazi. (N.S.), V17, P107
[37]  
Mckiernan MA., 1967, Ann. Pol. Math, V19, P331, DOI [10.4064/ap-19-3-331-336, DOI 10.4064/AP-19-3-331-336]
[38]   Some hyperstability and stability results for the Cauchy and Jensen equations [J].
Moghimi, Mohammad Bagher ;
Najati, Abbas .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[39]   On the stability of a quartic functional equation [J].
Najati, Abbas .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) :569-574
[40]  
Najati A, 2017, J COMPUT ANAL APPL, V22, P1049