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Fixed point approach to the stability of the gamma functional equation

Authors
Jung, S.-M.
Issue Date
Dec-2012
Publisher
Springer International Publishing
Keywords
Fix points; Gamma functional equation; Stability
Citation
Springer Optimization and Its Applications, v.68, pp.353 - 361
Journal Title
Springer Optimization and Its Applications
Volume
68
Start Page
353
End Page
361
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/19046
DOI
10.1007/978-1-4614-3498-6_21
ISSN
1931-6828
Abstract
The gamma function appears occasionally in the physical problems and applications. Especially, the gamma function is useful to develop other functions which have physical applications. It is well known that the gamma function satisfies the following functional equation f (x + 1) = xf (x), and hence it is called the gamma functional equation. We will apply the fixed point method for proving the Hyers-Ulam-Rassias stability of the gamma functional equation. © Springer Science+Business Media, LLC 2012.
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