SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP

被引：0
|
作者：
Kim, Gwang Hui [1 ]
机构：
[1] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea
来源：
KOREAN JOURNAL OF MATHEMATICS | 2012年 / 20卷 / 02期
关键词：
Hyers-Ulam stability; superstability; exponential functional equation; C*-algebra; generalized Pexider exponential equation;
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 will prove the superstability of the following generalized Pexider type exponential equation f(x + y)(m) = g(x)h(y), where f, g, h : G -> R are unknown mappings and m is a fixed positive integer. Here G is an Abelian group (G, +), and R the set of real numbers. Also we will extend the obtained results to the Banach algebra. The obtained results are generalizations of P. Gavruta's result in 1994 and G. H. Kim's results in 2011.
引用
收藏
页码：213 / 223
页数：11
相关论文
共 50 条
  • [21] Superstability of the generalized orthogonality equation on restricted domains
    Jung, SM
    Sahoo, PK
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2004, 114 (03): : 253 - 267
  • [22] Stability of the Quadratic Equation of Pexider Type
    Soon-Mo Jung
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2000, 70 : 175 - 190
  • [23] On a generalized Pexider equation connected with the iteration theory
    Bajger, M
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (1-2): : 77 - 88
  • [24] On the stability of a functional equation of pexider type
    Jung, Yong-Soo
    Park, Kyoo-Hong
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (05): : 1503 - 1509
  • [25] Superstability of the generalized orthogonality equation on restricted domains
    Soon-Mo Jung
    Prasanna K. Sahoo
    Proceedings Mathematical Sciences, 2004, 114 : 253 - 267
  • [26] Stability of the quadratic equation of Pexider type
    Jung, SM
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2000, 70 (1): : 175 - 190
  • [27] A wavelike functional equation of Pexider type
    Haruki S.
    aequationes mathematicae, 2002, 63 (3) : 201 - 209
  • [28] The stability of a Wilson type and a Pexider type functional equation
    Jung, Yong-Soo
    Jun, Kil-Woung
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (04): : 707 - 716
  • [29] Generalized Hyers-Ulam Stability of the Pexider Functional Equation
    Lee, Yang-Hi
    Kim, Gwang-Hui
    MATHEMATICS, 2019, 7 (03):
  • [30] On the stability of a new Pexider-type functional equation
    Jun, Kil-Woung
    Lee, Yang-Hi
    Lee, Juri
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
12345