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FUNCTIONAL INEQUALITIES ASSOCIATED WITH INNER PRODUCT PRESERVING MAPPINGS

Authors
Lu, GangAnastassiou, George A.Park, ChoonkilJin, Yuanfeng
Issue Date
Jun-2015
Publisher
Kluwer Academic Publishers
Keywords
additive functional equation; inner product preserving mapping Hyers-Ulam stability; Hilbert space
Citation
Journal of Computational Analysis and Applications, v.18, no.6, pp 964 - 972
Pages
9
Indexed
SCIE
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
18
Number
6
Start Page
964
End Page
972
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143475
ISSN
1521-1398
1572-9206
Abstract
In this paper, we prove the Hyers-Ulam stability of inner product preserving mappings in Hilbert spaces for the following additive functional equation f(ax + by) = af(x) + bf(y).
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