Asymptotic stability of monomial functional equations

被引:0
|
作者
Wolna, D [1 ]
机构
[1] Wyzszej Szkoly Pedagogicznej, Inst Matemat & Informat, PL-42200 Czestochowa, Poland
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2003年 / 63卷 / 1-2期
关键词
functional equations stability monomial function; functional inequality; abelian group; normed space;
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 the asymptotic stability of monomial functional equations of any degree is proved. This kind of stability was investigated in the case of additive functions by F. Skof and for quadratic functionals by F. Skof and by S. M. Jung, and by A. Gilanyi for higher orders.
引用
收藏
页码:145 / 156
页数:12
相关论文
共 50 条
  • [1] The stability of monomial functions on a restricted domain
    Wolna D.
    aequationes mathematicae, 2006, 72 (1-2) : 100 - 109
  • [2] GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL INEQUALITIES AND FUNCTIONAL EQUATIONS
    Gao, Zhen-Xia
    Cao, Huai-Xin
    Zheng, Wen-Ting
    Xu, Lu
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (01): : 63 - 77
  • [3] Functional inequalities associated with additive, quadratic and Drygas functional equations
    Najati, A.
    Yengejeh, Y. Khedmati
    ACTA MATHEMATICA HUNGARICA, 2022, 168 (02) : 572 - 586
  • [4] Functional inequalities associated with additive, quadratic and Drygas functional equations
    A. Najati
    Y. Khedmati Yengejeh
    Acta Mathematica Hungarica, 2022, 168 : 572 - 586
  • [5] Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
    Liviu Cădariu
    Viorel Radu
    Fixed Point Theory and Applications, 2009
  • [6] Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
    Cadariu, Liviu
    Radu, Viorel
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [7] Solutions and Stability of Generalized Mixed Type QC Functional Equations in Random Normed Spaces
    YeolJe Cho
    MadjidEshaghi Gordji
    Somaye Zolfaghari
    Journal of Inequalities and Applications, 2010
  • [8] Orthogonalities and functional equations
    Sikorska, Justyna
    AEQUATIONES MATHEMATICAE, 2015, 89 (02) : 215 - 277
  • [9] Orthogonalities and functional equations
    Justyna Sikorska
    Aequationes mathematicae, 2015, 89 : 215 - 277
  • [10] Asymptotic Estimation for Some Nonlinear Delay Differential Equations
    Jan Čermák
    Stanislava Dvořáková
    Results in Mathematics, 2008, 51 : 201 - 213