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Quadratic ρ-functional inequalities in banach spac

Authors
Park, CHyun, YLee, JR
Issue Date
May-2019
Publisher
Eudoxus Press, LLC
Keywords
Hyers-Ulam stability; quadratic ρ-functional equation; quadratic ρ-functional inequality; complex Banach space
Citation
Journal of Computational Analysis and Applications, v.26, no.5, pp.863 - 874
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
26
Number
5
Start Page
863
End Page
874
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147838
ISSN
1521-1398
Abstract
In this paper, we solve the following quadratic ρ-functional inequalities (Formula Presented) where ρ is a fixed complex number with |ρ| < (Formula Presented) and (Formula Presented) where ρ is a fixed complex number with |ρ|<4 Using the direct method, we prove the Hyers-Ulam stability of the quadratic ρ-functional inequalities (0.1) and (0.2) in complex Banach spaces and prove the Hyers-Ulam stability of quadratic ρ-functional equations associated with the quadratic ρ-functional inequalities (0.1) and (0.2) in complex Banach spaces.
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