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The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces
- Source :
- Demonstratio Mathematica, Vol 53, Iss 1, Pp 174-192 (2020)
- Publication Year :
- 2020
- Publisher :
- De Gruyter, 2020.
-
Abstract
- In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]+12f(2y),where f maps from an additive group to a complete non-Archimedean normed space.
Details
- Language :
- English
- ISSN :
- 23914661
- Volume :
- 53
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.816924af632048bfbd90edcc35ff6854
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2020-0009