The stability of a Wilson type and a Pexider type functional equation

被引:0
作者
Jung, Yong-Soo [1 ]
Jun, Kil-Woung [1 ]
机构
[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2006年 / 9卷 / 04期
关键词
functional equation; stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study the stability of the Wilson type functional equation f (x + y) - f (x - y) = 2g(x)g(y) and the Pexider type functional equation f (x + y - xy) = (1-x)(alpha)g(y) + (1 - y)(alpha)h(x), respectively.
引用
收藏
页码:707 / 716
页数:10
相关论文
共 50 条
  • [21] On Hyers-Ulam-Rassias stability of the Pexider equation
    Jun, KW
    Shin, DS
    Kim, BD
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 239 (01) : 20 - 29
  • [22] The Generalized Stability of an n-Dimensional Jensen Type Functional Equation
    Tipyan, J.
    Srisawat, C.
    Udomkavanich, P.
    Nakmahachalasint, P.
    THAI JOURNAL OF MATHEMATICS, 2014, 12 (02): : 265 - 274
  • [23] A Mixed-Type Quadratic and Cubic Functional Equation and Its Stability
    Towanlong, W.
    Nakmahachalasint, P.
    THAI JOURNAL OF MATHEMATICS, 2010, 8 (04): : 61 - 71
  • [24] Stability of an incomplete gamma-type functional equation
    Lee, YW
    Choi, BM
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (03): : 477 - 486
  • [25] On the stability of a nonmultiplicative type sum form functional equation
    Singh, Dhiraj Kumar
    Grover, Shveta
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, Forum-Editrice Universitaria Udinese SRL (45): : 360 - 374
  • [26] Stability and Instability of an Apollonius-Type Functional Equation
    Arumugam, Ponmana Selvan
    Park, Won-Gil
    Roh, Jaiok
    MATHEMATICS, 2024, 12 (14)
  • [27] On the stability of a mixed type functional equation in generalized functions
    Young-Su Lee
    Advances in Difference Equations, 2012
  • [28] On a functional equation of trigonometric type
    Jung, Soon-Mo
    Rassias, Michael Th.
    Mortici, Cristinel
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 252 : 294 - 303
  • [29] On the stability of a mixed type functional equation in generalized functions
    Lee, Young-Su
    ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 11
  • [30] Stability and nonstability of the radical Drygas type functional equation
    Dehghanian, Mehdi
    Park, Choonkil
    Sayyari, Yamin
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2024,