대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권1호
  • /
  • Pages.45-50
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

THE STABILITY OF THE GENERALIZED FORM FOR THE GAMMA FUNCTIONAL EQUATION

  • 발행 : 2000.01.01
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초록

The modified Hyers-Ulam-Rassias Stability Of the generalized form g(x+p) : $\phi$(x)g(x) for the Gamma functional equation shall be proved. As a consequence we obtain the stability theorems for the gamma functional equation.

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참고문헌

  1. Proc. Nat. Acad. Sci. v.27 On the stability of the linear functional equation D. H. Hyers
  2. Mathematica v.39 no.2 On the modified Hyers-Ulam-Rassias stability of the functional equa-tion for gamma function S.-M. Jung
  3. Results Math v.33 On the stability of gamma functional equation
  4. Proc. Amer. Match. Soc. v.72 On the stability of the linear mapping in Banach spaces T. M. Rassias
  5. Science editions Problems in Mordern Mathematics S. M. Ulam