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ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES
- Authors
- Li, Lexin; Lu, Gang; Park, Choonkil; Shin, Dong Yun
- Issue Date
- Oct-2013
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive functional inequality; generalized quasi-Banach space; additive mapping
- Citation
- Journal of Computational Analysis and Applications, v.15, no.6, pp 1165 - 1175
- Pages
- 11
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 15
- Number
- 6
- Start Page
- 1165
- End Page
- 1175
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we investigate the Hyers-Ulam stability of the following function inequalities parallel to af(x) + bf(y) + cf(z)parallel to <= parallel to Kf (ax + by + cz)/K parallel to (0 < vertical bar K vertical bar < vertical bar a + b + c vertical bar), parallel to af(x) + bf(y) + Kf(z)parallel to <= parallel to Kf (ax + by/K + z)parallel to (0 < K < vertical bar a + b + K vertical bar), in generalized quasi-Banach spaces.
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