On the stability of generalized gamma functional equation

Gwang Hui Kim

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-8

Abstract:

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:349632

DOI: 10.1155/S0161171200003598

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