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• W2000224291 abstract "Let X,Y be vector spaces. It is shown that if an even mapping f:X→Y satisfies f(0)=0, and (0.1)(2d−2Cl−1−d−2Cl−d−2Cl−2)f∑j=1dxj+∑ι(j)=0,1∑j=1dι(j)=lf∑j=1d(−1)ι(j)xj=(d−1Cl+d−1Cl−1+2d−2Cl−1−d−2Cl−d−2Cl−2)∑j=1df(xj)for all x1,…,xd∈X, then the even mapping f:X→Y is quadratic. Furthermore, we prove the Cauchy–Rassias stability of the functional equation (0.1) in Banach spaces." @default.
• W2000224291 created "2016-06-24" @default.
• W2000224291 creator A5045374106 @default.
• W2000224291 date "2004-05-01" @default.
• W2000224291 modified "2023-09-27" @default.
• W2000224291 title "Generalized quadratic mappings in several variables" @default.
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• W2000224291 doi "https://doi.org/10.1016/j.na.2004.03.013" @default.
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