Stability of a Jensen type quadratic-additive functional equation under the approximately conditions

被引:0
作者
Lee, Young-Su [1 ]
Jeong, Yujin [1 ]
Ha, Hyemin [1 ]
机构
[1] Hana Acad Seoul, Seoul 122200, South Korea
关键词
quadratic functional equation; additive functional equation; mixed type functional equation; stability; HYERS-ULAM STABILITY;
D O I
10.1186/s13662-015-0392-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the Hyers-Ulam-Rassias stability of the Jensen type quadratic and additive functional equation under the approximately conditions such as even, odd, quadratic, and additive in Banach spaces.
引用
收藏
页数:20
相关论文
共 30 条
[1]  
[Anonymous], 1995, Results Math, DOI DOI 10.1007/BF03322841
[2]  
[Anonymous], 1950, J MATH SOC JPN, DOI DOI 10.2969/JMSJ/00210064
[3]  
[Anonymous], 1964, Problem in Modern Mathematics
[4]  
[Anonymous], 2011, Introduction to Functional Equations
[5]  
Czerwik S., 2002, Functional Equations and Inequalities in Several Variables, DOI [10.1142/4875, DOI 10.1142/4875]
[6]   A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].
GAVRUTA, P .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436
[7]   Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces [J].
Gordji, M. Eshaghi ;
Kenary, H. Azadi ;
Rezaei, H. ;
Lee, Y. W. ;
Kim, G. H. .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8]   On the stability of the linear functional equation [J].
Hyers, DH .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224
[9]  
Isac G., 1998, Stability of Functional Equation in Several Variables, P1
[10]   Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation [J].
Janfada, M. ;
Shourvazi, R. .
ABSTRACT AND APPLIED ANALYSIS, 2011,