FUNCTIONAL INEQUALITIES IN β-HOMOGENEOUS F-SPACES

被引：0
作者：
Lu, Gang [1 ]
Park, Choonkil [2 ]
机构：
[1] ShenYang Univ Technol, Sch Sci, Dept Math, Shenyang 110178, Peoples R China
[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2014年 / 17卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
beta-homogeneous F-space; Hyers-Ulam stability; functional inequality; TERNARY BANACH-ALGEBRAS; ADDITIVE MAPPINGS; STABILITY; ULAM; DERIVATIONS; EQUATIONS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we prove the Hyers-Ulam stability problem for the following function inequalities parallel to Sigma(N)(i=1) f(x(i))parallel to <= parallel to K f(Sigma(N)(i=1) x(i)/K)parallel to parallel to Sigma(N)(i=1) f(x(i))parallel to <= parallel to K f(Sigma(m)(i=1) x(i)/K) + C f(Sigma(N)(i=m+1) x(i)/C)parallel to in beta-homogeneous F-spaces.
引用
收藏
页码：280 / 286
页数：7
相关论文
共 24 条
  • [1] Aczel J., 1989, ENCY MATH APPL, V31
  • [2] [Anonymous], 1998, Stability of Functional Equations in Several Variables
  • [3] [Anonymous], 1940, PROBLEMS MODERN MATH
  • [4] Aoki T., 1950, J. Math. Soc. Japan, V2, P64
  • [5] Nearly Quartic Mappings in β-Homogeneous F-Spaces
    Chang, I. S.
    Eshaghi Gordji, M.
    Khodaei, H.
    Kim, H. M.
    [J]. RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 529 - 541
  • [6] Functional inequalities in non-Archimedean Banach spaces
    Cho, Yeol Je
    Park, Choonkil
    Saadati, Reza
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1238 - 1242
  • [7] Cholewa P.W., 1984, Aequat. Math, V27, P76, DOI [10.1007/BF02192660, DOI 10.1007/BF02192660]
  • [8] Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
    Ebadian, A.
    Ghobadipour, N.
    Rassias, Th M.
    Gordji, M. Eshaghi
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
  • [9] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS
    GAVRUTA, P
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) : 431 - 436
  • [10] Gordji ME, 2011, J COMPUT ANAL APPL, V13, P724
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