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Functional equations associated with inner product spaces

Authors
Park, ChoonkilHuh, Jae SungMin, Won JuneNam, Dong HoonRoh, Seung Hyeon
Issue Date
Dec-2008
Publisher
충청수학회
Keywords
Jensen additive mapping; Jensen quadratic mapping; functional equation associated with inner product space; generalized Hyers-Ulam stability
Citation
충청수학회지, v.21, no.4, pp.455 - 466
Indexed
KCI
Journal Title
충청수학회지
Volume
21
Number
4
Start Page
455
End Page
466
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/177554
ISSN
1226-3524
Abstract
In [7], Th.M. Rassias proved that the norm defined over a real vector space V is induced by an inner product if and only if for a fixed integer [수식]Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (0.2) in real Banach spaces.
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