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- W330053528 startingPage "703" @default.
- W330053528 abstract "Let X, Y be vector spaces. It is shown that if an even mapping <TEX>$f:X{rightarrow}Y$</TEX> satisfies f(0) = 0 and <TEX>$$(0.1);f(frac {x+y} 2+z)+f(frac {x+y} 2-z)+f(frac {x-y} 2+z)+f(frac {x-y} 2-z)=f(x)+f(y)+4f(z)$$</TEX> for all x, y, z <TEX>${in}$</TEX>X, then the mapping <TEX>$f:X{rightarrow}Y$</TEX> is quadratic. Furthermore, we prove the Cauchy-Rassias stability of the functional equation (0.1) in Banach spaces." @default.
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- W330053528 date "2006-11-30" @default.
- W330053528 modified "2023-10-16" @default.
- W330053528 title "JENSEN TYPE QUADRATIC-QUADRATIC MAPPING IN BANACH SPACES" @default.
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- W330053528 doi "https://doi.org/10.4134/bkms.2006.43.4.703" @default.
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