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ADDITIVE FUNCTIONAL INEQUALITIES IN PARANORMED SPACES
- Authors
- Yang, Seo-Yun; Park, Choonkil
- Issue Date
- Jan-2014
- Publisher
- Kluwer Academic Publishers
- Keywords
- Jordan-von Neumann functional equation; Hyers-Ulam stability; paranormed space; functional inequality
- Citation
- Journal of Computational Analysis and Applications, v.16, no.1, pp 165 - 171
- Pages
- 7
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 16
- Number
- 1
- Start Page
- 165
- End Page
- 171
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we investigate the following additive functional inequalities parallel to 1/s f(x) + 1/s f(y) + f(z) + f(w)parallel to <= parallel to f (x+y/s + z + w)parallel to, parallel to 1/s f(x) + 1/s f(y) + 1/s f(z) + f(w)parallel to <= parallel to f(x+y+z/s + w)parallel to in paranormed spaces for a fixed integer s greater than 1. Furthermore, we prove the Hyers-Ulam stability of the above additive functional inequalities in paranormed spaces.
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