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Approximate ring homomorphisms over $p$-adic fields

Authors
박춘길전길웅Gang Lu
Issue Date
Sep-2006
Publisher
충청수학회
Keywords
generalized Hyers--Ulam stability; ring homomorphism; functional equation; $p$-adic field
Citation
충청수학회지, v.19, no.3, pp 245 - 261
Pages
17
Indexed
KCICANDI
Journal Title
충청수학회지
Volume
19
Number
3
Start Page
245
End Page
261
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/181000
ISSN
1226-3524
2383-6245
Abstract
In this paper, we prove the generalized Hyers{Ulamstability of ring homomorphisms over thep-adic eld Qp associatedwith the Cauchy functional equation f(x+ y) = f(x)+ f(y) and theCauchy{Jensen functional equation 2f(x+ y2 + z) = f(x) + f(y) +2f(z).
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