Additive s-Functional Inequalities
- Authors
- Jeon, Seongbin; Park, Sunghee; Yang, Hojin; Shin, Kijoon; Park, Choonkil
- Issue Date
- Sep-2020
- Publisher
- CHIANG MAI UNIV, FAC SCIENCE
- Keywords
- Hyers-Ulam stability; Banach space; additive s-functional inequality
- Citation
- THAI JOURNAL OF MATHEMATICS, v.18, no.3, pp.871 - 878
- Indexed
- SCOPUS
- Journal Title
- THAI JOURNAL OF MATHEMATICS
- Volume
- 18
- Number
- 3
- Start Page
- 871
- End Page
- 878
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145176
- ISSN
- 1686-0209
- Abstract
- In this paper, we solve the following additive s-functional inequality
parallel to f ((k + 1 )x - y) - f (kx - y) - f (x)parallel to <= parallel to s(f (x + y) - f (x) - f (Y))parallel to (0.1)
and
parallel to f (x + y) - f(x) - f(y) parallel to <= parallel to s(f ((k + 1)x - y) - f (kx - y) - f(x))parallel to (0.2)
where k is an integer greater than 1 and s is acomplex number with vertical bar s vertical bar < 1. Furthermore, we prove the Hyers-Ulam stability of the additive s-functional inequalities (0.1) and (0.2) in complex Banach spaces.
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