Remarks on the Hyers-Ulam stability of some systems of functional equations

被引：19
|
作者：
Brzdek, Janusz [1 ]
Cieplinski, Krzysztof [1 ]
机构：
[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期
关键词：
Hyers-Ulam stability; Multi-Cauchy-Jensen-quadratic function; Cauchy equation; Jensen equation; Quadratic equation; RASSIAS STABILITY;
D O I：
10.1016/j.amc.2012.10.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a method that allows to study the Hyers-Ulam stability of some systems of functional equations connected with the Cauchy, Jensen and quadratic equations. In particular we generalize and extend some already known results. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：4096 / 4105
页数：10
相关论文
共 50 条
  • [1] Best constant in Hyers-Ulam stability of some functional equations
    Popa, Dorian
    Rasa, Ioan
    CARPATHIAN JOURNAL OF MATHEMATICS, 2014, 30 (03) : 383 - 386
  • [2] THE HYERS-ULAM STABILITY OF SOME FUNCTIONAL EQUATIONS DEFINED BY MEANS
    Pop, Vasile
    JOURNAL OF SCIENCE AND ARTS, 2010, (02): : 265 - 270
  • [3] On Hyers-Ulam Stability of Monomial Functional Equations
    A. Gilányi
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1998, 68 : 321 - 328
  • [4] HYERS-ULAM STABILITY OF TRIGONOMETRIC FUNCTIONAL EQUATIONS
    Chang, Jeongwook
    Chung, Jaeyoung
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 23 (04): : 567 - 575
  • [5] On Hyers-Ulam stability of monomial functional equations
    Gilanyi, A
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 1998, 68 (1): : 321 - 328
  • [6] On Hyers-Ulam stability for a class of functional equations
    Costanza Borelli
    aequationes mathematicae, 1997, 54 (1-2) : 74 - 86
  • [7] The generalized Hyers-Ulam stability of a class of functional equations
    Grabiec, A
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1996, 48 (3-4): : 217 - 235
  • [8] GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS
    Kim, Hark-Mahn
    Son, EunYonug
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2009, 16 (03): : 297 - 306
  • [9] Generalized Hyers-Ulam Stability of Trigonometric Functional Equations
    Elqorachi, Elhoucien
    Rassias, Michael Th.
    MATHEMATICS, 2018, 6 (05):
  • [10] On a Generalized Hyers-Ulam Stability of Trigonometric Functional Equations
    Chung, Jaeyoung
    Chang, Jeongwook
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345