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Quadratic ρ-functional inequalities in banach spac
- Issue Date
- May-2019
- Publisher
- Kluwer Academic Publishers
- 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
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 26
- Number
- 5
- Start Page
- 863
- End Page
- 874
- ISSN
- 1521-1398
1572-9206
- 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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