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Functional equations associated with inner product spaces
- 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
- Pages
- 12
- Indexed
- KCI
- Journal Title
- 충청수학회지
- Volume
- 21
- Number
- 4
- Start Page
- 455
- End Page
- 466
- ISSN
- 1226-3524
2383-6245
- 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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