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A generalization of the Hyers-Ulam-Rassias stability of a functional equation of Davison

Authors
Jun, KWJung, SMLee, YH
Issue Date
May-2004
Publisher
KOREAN MATHEMATICAL SOC
Keywords
Hyers-Ulam-Rassias stability; Cauchy equation; Pexider equation; Davison equation
Citation
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.41, no.3, pp.501 - 511
Journal Title
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
Volume
41
Number
3
Start Page
501
End Page
511
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/25773
ISSN
0304-9914
Abstract
We prove the Hyers-Ulam-Rassias stability of the Davison functional equation f (xy) + f (x + y) = f (xy + x) + f (y) for a class of functions from a ring into a Banach space and we also investigate the Davison equation of Pexider type.
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