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Additive rho-Functional Inequalities in beta-Homogeneous Normed Spaces
- Authors
- Park, Choonkil
- Issue Date
- Dec-2015
- Publisher
- Universitet of Nis
- Keywords
- Hyers-Ulam stability; beta-homogeneous space; additive rho-functional equation; additive rho-functional inequality
- Citation
- Filomat, v.30, no.7, pp 1651 - 1658
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Filomat
- Volume
- 30
- Number
- 7
- Start Page
- 1651
- End Page
- 1658
- ISSN
- 0354-5180
2406-0933
- Abstract
- In this paper, we solve the following additive rho-functional inequalities parallel to f (x + y) - f (x) - f (y)parallel to <=parallel to rho(2f (x + y/2) - f (x) + -f (y)parallel to (1) where rho is a fixed complex number with vertical bar rho vertical bar < 1, and parallel to 2f (x + y/2) - f (x) - f (y)parallel to <=parallel to rho(f (x + y) - f (x) - f (y))parallel to (2) where rho is a fixed complex number with vertical bar rho vertical bar < 1/2, and prove the Hyers-Ulam stability of the additive rho-functional inequalities (1) and (2) in beta-homogeneous complex Banach spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (1) and (2) in beta-homogeneous complex Banach spaces.
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