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Nearly Quadratic Mappings over p‐Adic Fields

M. Eshaghi Gordji, H. Khodaei and Gwang Hui Kim

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We establish some stability results over p‐adic fields for the generalized quadratic functional equation ∑k=2n∑i1=2k∑i2=i1+1k+1⋯∑in-k+1=in-k+1nf(∑i=1,i≠i1,…,in-k+1nxi-∑r=1n-k+1xir)+f(∑i=1nxi)=2n-1∑i=1nf(xi), where n ∈ ℕ and n ≥ 2.

Date: 2012
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https://doi.org/10.1155/2012/285807

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