Approximate additive-quadratic mappings and bi-Jensen mappings in 2-Banach spaces
In this paper, we obtain the stability of the additive-quadratic functional equation $$f(x+y,z+w)+f(x+y,z-w)=2f(x,z)+2f(x,w)+2f(y,z)+2f(y,w)$$ and the bi-Jensen functional equation $$4f\bigg(\frac{x+y}{2},\frac{z+w}{2}\bigg)=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$ in $2$-Banach spaces. KCI Citation Count: 0
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| Published in | 충청수학회지, 30(4) pp. 467 - 476 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
충청수학회
01.11.2017
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1226-3524 2383-6245 |
| DOI | 10.14403/jcms.2017.30.4.467 |
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| Abstract | In this paper, we obtain the stability of the additive-quadratic functional equation $$f(x+y,z+w)+f(x+y,z-w)=2f(x,z)+2f(x,w)+2f(y,z)+2f(y,w)$$ and the bi-Jensen functional equation $$4f\bigg(\frac{x+y}{2},\frac{z+w}{2}\bigg)=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$ in $2$-Banach spaces. KCI Citation Count: 0 |
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| AbstractList | In this paper, we obtain the stability of the additive-quadratic functional equation $$f(x+y,z+w)+f(x+y,z-w)=2f(x,z)+2f(x,w)+2f(y,z)+2f(y,w)$$ and the bi-Jensen functional equation $$4f\bigg(\frac{x+y}{2},\frac{z+w}{2}\bigg)=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$ in $2$-Banach spaces. KCI Citation Count: 0 |
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| Snippet | In this paper, we obtain the stability of the additive-quadratic functional equation $$f(x+y,z+w)+f(x+y,z-w)=2f(x,z)+2f(x,w)+2f(y,z)+2f(y,w)$$ and the... |
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| Title | Approximate additive-quadratic mappings and bi-Jensen mappings in 2-Banach spaces |
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