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GENERALIZED QUADRATIC MAPPINGS IN 2d VARIABLESGENERALIZED QUADRATIC MAPPINGS IN 2d VARIABLES
- Other Titles
- GENERALIZED QUADRATIC MAPPINGS IN 2d VARIABLES
- Issue Date
- Mar-2011
- Publisher
- 강원경기수학회
- Keywords
- Hyers-Ulam stability; quadratic mapping; functional equation.
- Citation
- 한국수학논문집, v.19, no.1, pp 17 - 24
- Pages
- 8
- Indexed
- KCI
- Journal Title
- 한국수학논문집
- Volume
- 19
- Number
- 1
- Start Page
- 17
- End Page
- 24
- ISSN
- 1976-8605
2288-1433
- Abstract
- Let X, Y be vector spaces. It is shown that if an even mapping f :X → Y satisfies f(0)=0, and [수식]for all x_1, …, x(_2d) ∈ X, then the even mapping f : X → Y is quadratic. Furthermore, we prove the Hyers-Ulam stability of the above functional equation in Banach spaces.
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