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Additive ρ-functional inequalities

Authors
Lee, HarinCha, Jae YoungCho, Min WooKwon, MyungjunPark, Choon kil
Issue Date
Apr-2018
Publisher
Kluwer Academic Publishers
Keywords
Hyers-Ulam stability; additive ρ-functional inequality
Citation
Journal of Computational Analysis and Applications, v.24, no.4, pp 784 - 791
Pages
8
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
24
Number
4
Start Page
784
End Page
791
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150328
ISSN
1521-1398
1572-9206
Abstract
In this paper, we solve the additive ρ-functional inequalities (formula presented) (0.1) where ρ is a fixed complex number with |ρ| < 1, and (formula presented) (0.2) where ρ is a fixed complex number with |ρ| < 1/2. Furthermore, we prove the Hyers-Ulam stability of the additive ρ-functional in-equalities (0.1) and (0.2) in complex Banach spaces.
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