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On the Stability of the generalized $G$-type functional equations

Gwang Hui Kim
대한수학회 (The Korean Mathematical Society)|2005.01|대한수학회논문집 (Communications of the KMS)|제20권 제1호|pp. 93-106

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Abstract

In this paper, we obtain the generalization of the Hyers-Ulam-Rassias stability in the sense of G·avruta and Ger of the gener-alized G-type functional equations of the form f('(x)) = ¡(x)f(x). As a consequence in the cases '(x) := x+p := x+1, we obtain the stability theorem of G-functional equation : the reciprocal func-tional equation of the double gamma function.

참고문헌 (14)

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  5. "On the stability of the linear functional equation", 27, pp.222~224 (1941)
  6. "Stability of functional equation in Several Variables" (1998)
  7. "ed Hyers-Ulam-Rassias stability of the functional equation for gamma function", 39(62), pp.233~237 (1997)
  8. "On the stability of G-functional equation", 33, pp.306~309 (1998)
  9. "Stability of generalized gamma and beta functional equations, Aequationes", 60, pp.15~24 (2000)
  10. "On the stability of generalized Gamma functional equation", 23, pp.513~520 (2000)
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  13. "On the stability of the linear mapping in Banach spaces", 72, pp.297~300 (1978)
  14. "\Problems in Modern Mathematics", vi (1960)

관련 논문AI추천

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