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ADDITIVE rho-FUNCTIONAL INEQUALITIES IN MATRIX NORMED SPACES
- Authors
- Batool, Afshan; Park, Choonkil; Shin, Dong Yun
- Issue Date
- Dec-2015
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive rho-functional equation; additive rho-functional inequality; matrix normed space
- Citation
- Journal of Computational Analysis and Applications, v.19, no.6, pp 939 - 946
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 19
- Number
- 6
- Start Page
- 939
- End Page
- 946
- ISSN
- 1521-1398
1572-9206
- Abstract
- In [22], Kim et al. introduced and investigated the following additive rho-functional inequalities parallel to f(x+y+z) - f(x) - f(y) - f(z)parallel to (0.1) <=parallel to rho(2f(x+y/2+z) - f(x) - f(y) - 2f(z)parallel to, parallel to 2f(x+y/2+z) - f(x)-f(y) - 2f(z)parallel to (0.2) <=parallel to rho(2f(x+y+z/2) - f(x) - f(y) - f(z))parallel to in complex Banach spaces. We prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in complex matrix normed spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (0.1) and (0.2) in complex matrix normed spaces.
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