3-Variable Additive rho-Functional Inequalities and Equations
- Authors
- Kim, Myeongsu; Kim, Myeonhu; Kim, Yeonjun; Lee, Sanha; Park, Choonkil
- Issue Date
- Sep-2014
- Publisher
- SPRINGER BASEL AG
- Keywords
- Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality
- Citation
- RESULTS IN MATHEMATICS, v.66, no.1-2, pp.159 - 179
- Indexed
- SCIE
SCOPUS
- Journal Title
- RESULTS IN MATHEMATICS
- Volume
- 66
- Number
- 1-2
- Start Page
- 159
- End Page
- 179
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144535
- DOI
- 10.1007/s00025-014-0370-x
- ISSN
- 1422-6383
- Abstract
- In this paper, we introduce and investigate additive -functional inequalities associated with the following additive functional equations f(x + y + z) - f(x) - f(y) - f(z) = 0 2f(x + y /2 + z) - f(x) - f(y) - 2f(z) = 0 2f(x vertical bar y vertical bar z/2) - f(x) - f(y) - f(z) = 0 Furthermore, we prove the Hyers-Ulam stability of the additive rho-functional inequalities in complex Banach spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive -functional inequalities in complex Banach spaces.
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