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Functional inequalities in non-Archimedean normed spaces
- Title
- Functional inequalities in non-Archimedean normed spaces
- Author
- 박춘길
- Keywords
- Jordan-von Neumann functional equation; non-Archimedean normed space; Banach space; Hyers-Ulam stability; functional inequality
- Issue Date
- 2015-03
- Publisher
- SPRINGER HEIDELBERG
- Citation
- ACTA MATHEMATICA SINICA-ENGLISH SERIES, v. 31, NO 3, Page. 353-366
- Abstract
- In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.
- URI
- http://link.springer.com/article/10.1007%2Fs10114-015-4278-5http://hdl.handle.net/20.500.11754/23436
- ISSN
- 1439-8516; 1439-7617
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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