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General quadratic functional equations in quasi-β-normed spaces: Solution, superstability and stability
- Authors
- Farhadabadi, S; Park, C; Yun, S
- Issue Date
- Aug-2019
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; functional equation; quadratic functional equation; superstability; direct method
- Citation
- Journal of Computational Analysis and Applications, v.27, no.2, pp 256 - 268
- Pages
- 13
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 27
- Number
- 2
- Start Page
- 256
- End Page
- 268
- ISSN
- 1521-1398
1572-9206
- Abstract
- Let f: X → Y be a mapping where X is a quasi-α-normed space and Y is a quasi-β-normed space. The following quadratic functional equation (Formula present) (0.1) is introduced and solved by giving its general solution. Moreover, we prove the Hyers-Ulam stability of the functional equation (0.1) by using a direct method.
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