Hyers-Ulam Stability of a Bi-Jensen Functional Equation on a Punctured Domain

被引:0
作者
GwangHui Kim
Yang-Hi Lee
机构
[1] Kangnam University,Department of Mathematics
[2] Gongju National University of Education,Department of Mathematics Education
来源
Journal of Inequalities and Applications | / 2010卷
关键词
Banach Space; Positive Integer; Functional Equation; Additive Mapping; Cauchy Sequence;
D O I
暂无
中图分类号
学科分类号
摘要
We obtain the Hyers-Ulam stability of a bi-Jensen functional equation: [inline-graphic not available: see fulltext] and simultaneously [inline-graphic not available: see fulltext]. And we get its stability on the punctured domain.
引用
收藏
相关论文
共 50 条
  • [31] Fixed points of a mapping and Hyers-Ulam stability
    Badora, Roman
    Brzdek, Janusz
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (01) : 450 - 457
  • [32] Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces
    Tian Zhou Xu
    John Michael Rassias
    Wan Xin Xu
    Acta Mathematica Sinica, English Series, 2012, 28 : 529 - 560
  • [33] Hyers–Ulam stability of a functional equation with several parameters
    Oubbi L.
    Afrika Matematika, 2016, 27 (7-8) : 1199 - 1212
  • [34] Hyers-Ulam stability of norm-additive functional equations via (δ,ε)-isometries
    Sarfraz, Muhammad
    Zhou, Jiang
    Li, Yongjin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [35] The Ulam stability of Jensen-Quartic functional equation
    Song Aimin
    Zhang Zhenhua
    PROCEEDINGS OF THE 2016 6TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS, ENVIRONMENT, BIOTECHNOLOGY AND COMPUTER (MMEBC), 2016, 88 : 1127 - 1132
  • [36] Hyers-ulam stability for linear equations of higher orders
    Brzdek, J.
    Popa, D.
    Xu, B.
    ACTA MATHEMATICA HUNGARICA, 2008, 120 (1-2) : 1 - 8
  • [37] Hyers-Ulam stability of iterative equations in Banach spaces
    Wang, Xi
    SCIENCEASIA, 2021, 47 (01): : 126 - 130
  • [38] On the Asymptoticity Aspect of Hyers-Ulam Stability of Quadratic Mappings
    Rahimi, A.
    Najati, A.
    Bae, J. -H.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [39] Hyers-Ulam stability for linear equations of higher orders
    J. Brzdęk
    D. Popa
    B. Xu
    Acta Mathematica Hungarica, 2008, 120 : 1 - 8
  • [40] On the Generalized Hyers–Ulam Stability of a Functional Equation and Its Consequences
    Krzysztof Ciepliński
    Results in Mathematics, 2021, 76