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文章基本信息

  • 标题:On the stability of generalized gamma functional equation
  • 本地全文:下载
  • 作者:Gwang Hui Kim
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2000
  • 卷号:23
  • 期号:8
  • 页码:513-520
  • DOI:10.1155/S0161171200003598
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We obtain the Hyers-Ulam stability and modified Hyers-Ulam stability for the equations of the form g ( x + p ) = φ ( x ) g ( x ) in the following settings: | g ( x + p ) − φ ( x ) g ( x ) | ≤ δ ,       | g ( x + p ) − φ ( x ) g ( x ) | ≤ ϕ ( x ) ,       | ( g ( x + p ) / φ ( x ) g ( x ) ) − 1 | ≤ ψ ( x ) . As a consequence we obtain the stability theorems for the gamma functional equation.

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