On the stability of a functional equation deriving from additive and quadratic functions

被引:9
|
作者
Wang Liguang [1 ]
Li Jing [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
关键词
additive mapping; quadratic mapping; quasi-beta-normed spaces; Hyers-Ulam stability;
D O I
10.1186/1687-1847-2012-98
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we investigate the Hyers-Ulam stability of the following functional equation f(x + 2y) + f(x - 2y) = f(x + y) + f(x - y) + 3f(2y) - 6f(y) on quasi-beta-normed spaces.
引用
下载
收藏
页数:12
相关论文
共 50 条
  • [31] Additive and Quadratic Type Functional Equation and its Fuzzy Stability
    Chang, Ick-Soon
    Lee, Yang-Hi
    RESULTS IN MATHEMATICS, 2013, 63 (3-4) : 717 - 730
  • [32] Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation
    Choonkil Park
    Journal of Inequalities and Applications, 2010
  • [33] On the stability of a mixed type quadratic-additive functional equation
    Lee, Young-Su
    Na, Junyeop
    Woo, Heejong
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [34] Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [35] On the stability of an n-dimensional quadratic and additive functional equation
    Jun, KW
    Kim, HM
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (01): : 153 - 165
  • [36] Stability of an additive functional equation in the spaces of generalized functions
    Lee, Young-Su
    ADVANCES IN DIFFERENCE EQUATIONS, 2011, : 1 - 11
  • [37] Stability of an additive functional equation in the spaces of generalized functions
    Young-Su Lee
    Advances in Difference Equations, 2011
  • [38] Hyers-Ulam stability of an additive-quadratic functional equation
    Govindan, Vediyappan
    Park, Choonkil
    Pinelas, Sandra
    Rassias, Themistocles M.
    CUBO-A MATHEMATICAL JOURNAL, 2020, 22 (02): : 233 - 255
  • [39] ULAM STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN BANACH SPACES
    Hwang, Inho
    Park, Choonkil
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02): : 421 - 436
  • [40] Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
    Gordji, M. Eshaghi
    Gharetapeh, S. Kaboli
    Rassias, J. M.
    Zolfaghari, S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2009,