On the Stability of Hyers Orthogonality Functional Equations in Non-Archimedean Spaces
In this paper, we investigate the stability of specially orthogonally functional equations deriving from additive and quadratic functions 4f(x+y)+4f(x−y)+10f(x)+14f(−x)−3f(y)−3f(−y)=f(2x+y)+f(2x−y) and f(x+y+z/2)+f(x+y−z/2)+f(x−y+z/2)+f(y+z−x/2)=f(x)+f(y)+f(z) where f is a mapping from Abelian group...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ada Academica
2024-05-01
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| Series: | European Journal of Mathematical Analysis |
| Online Access: | https://adac.ee/index.php/ma/article/view/233 |
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| Summary: | In this paper, we investigate the stability of specially orthogonally functional equations deriving from additive and quadratic functions
4f(x+y)+4f(x−y)+10f(x)+14f(−x)−3f(y)−3f(−y)=f(2x+y)+f(2x−y)
and
f(x+y+z/2)+f(x+y−z/2)+f(x−y+z/2)+f(y+z−x/2)=f(x)+f(y)+f(z)
where f is a mapping from Abelian group to a non-Archimedean space. By adopting a new method, we have made an attempt to prove the Hyers-Ulam stability in non-Archimedean spaces. |
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| ISSN: | 2733-3957 |