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On the stability of an additive and quadratic functional equation
- Authors
- Park, Choon kil
- Issue Date
- Jun-2012
- Publisher
- Springer International Publishing AG
- Keywords
- Additive and quadratic type functional equation; Additive mapping; Generalized Hyers-Ulam stability; Quadratic mapping
- Citation
- Springer Optimization and Its Applications, v.68, pp 539 - 549
- Pages
- 11
- Indexed
- SCOPUS
- Journal Title
- Springer Optimization and Its Applications
- Volume
- 68
- Start Page
- 539
- End Page
- 549
- ISSN
- 1931-6828
1931-6836
- Abstract
- In Park et al. (J. Chungcheong Math. Soc. 21:455-466, 2008) considered the following Jensen additive and quadratic type functional equation (Formula Presented) In this paper, we investigate the following additive and quadratic functional equation 2f (x +y)+ f (x ? y)+f (y ?x) = 3f (x) +f (?x)+3f (y)+ f (?y). (34.1) Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (34.1) in Banach spaces.
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