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
  • [31] On the stability of a mixed type quadratic-additive functional equation
    Lee, Young-Su
    Na, Junyeop
    Woo, Heejong
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [32] On the stability of a pexiderized mixed type quadratic functional equation II
    Jun, Kil-Woung
    Lee, Jin-Hee
    Lee, Yang-Hi
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 569 - 587
  • [33] On the stability of a mixed-type linear and quadratic functional equation
    Nakmahachalasint, Paisan
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 77 (01) : 167 - 176
  • [34] On the stability of Jensen's functional equation on groups
    Faiziev, Valerii A.
    Sahoo, Prasanna K.
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (01): : 31 - 48
  • [35] ON THE STABILITY OF A BI-JENSEN FUNCTIONAL EQUATION
    Jun, Kil-Woung
    Lee, Yang-Hi
    Oh, Jeong-Ha
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2010, 17 (03): : 231 - 247
  • [36] ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION
    Jun, Kil-Woung
    Lee, Yang-Hi
    Cho, Young-Sun
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (03): : 377 - 386
  • [37] On the stability of Jensen’s functional equation on groups
    Valeriĭ A Faĭziev
    Prasanna K Sahoo
    Proceedings Mathematical Sciences, 2007, 117 : 31 - 48
  • [38] Stability of an alternative Jensen's functional equation
    Nakmahachalasint, Paisan
    SCIENCEASIA, 2013, 39 (06): : 643 - 648
  • [39] STABILITY OF CAUCHY-JENSEN TYPE FUNCTIONAL EQUATION IN (2, α)-BANACH SPACES
    Sayar, Khaled Yahya Naif
    Bergam, Amal
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (06): : 905 - 917
  • [40] MODIFIED HYERS-ULAM STABILITY OF A JENSEN TYPE QUARTIC FUNCTIONAL EQUATION
    Kim, Hark-Mahn
    Ko, Hoon
    Son, Eunyoung
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (02): : 153 - 161
12345