On the stability of a quadratic Jensen type functional equation

被引：28
作者：
Lee, YW [1 ]
机构：
[1] Taejon Univ, Dept Math, Taejon 300716, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 270卷 / 02期
关键词：
Hyers-Ulam-Rassias; quadratic functional equation;
D O I：
10.1016/S0022-247X(02)00093-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we obtain the general solution of the quadratic Jensen type functional equation 9f(x + y + z/3) + f(x) + f(y) + f(z) = 4[f(x + y/2) + f(y + z/2) + f(z + x/2)] and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and Gavruta. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：590 / 601
页数：12
相关论文
共 50 条
  • [41] Stability of the Functional Equation Deriving From Quadratic Function in Banach Space
    Amrit
    Kumar, Anil
    Kumar, Manoj
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2024, 15 (02): : 557 - 569
  • [42] Solution and Fuzzy Stability of n-Dimensional Quadratic Functional Equation
    Indira, K.
    Agilan, P.
    Suresh, M.
    Balamurugan, Manivannan
    Karthikeyan, S.
    Sakthi, R.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23
  • [43] STABILITY OF (alpha, beta, gamma) -DERIVATIONS ON LIE C*-ALGEBRA ASSOCIATED TO A PEXIDERIZED QUADRATIC TYPE FUNCTIONAL EQUATION
    Eghbali, Nasrin
    Hazrati, Somayeh
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (01): : 101 - 113
  • [44] On the stability of the quadratic equation on groups
    Faiziev, Valerii A.
    Sahoo, Prasanna K.
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2008, 15 (01) : 135 - 151
  • [45] The quadratic functional equation on groups
    Yang, DL
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 66 (3-4): : 327 - 348
  • [46] On the quadratic functional equation on groups
    Friis, PD
    Stetkær, H
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2006, 69 (1-2): : 65 - 93
  • [47] An alternative functional equation related to the quadratic equation
    Srisawat, Choodech
    SCIENCEASIA, 2024, 50 (05):
  • [48] Banach Limit and Fixed Point Approach in the Ulam Stability of the Quadratic Functional Equation
    El-hady, El-sayed
    Brzdek, Janusz
    AXIOMS, 2025, 14 (03)
  • [49] General Solution of A Quadratic Functional Equation and Its Hyers-Ulam Stability
    Chen, Rongjiang
    Cao, Jianbing
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 571 - 575
  • [50] Stability of the General Mixed Additive and Quadratic Functional Equation in Quasi Banach Spaces
    Kaskasem, Prondanai
    Klin-eam, Chakkrid
    Noytabtim, Boriwat
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (03): : 1299 - 1322
12345