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exists and is attained uniformly in.
The norm of is a uniformly differentiable if for each, the limit is attained uniformly for.
f is called Fréchet differentiable at x if this limit is attained uniformly for ∥ y ∥ = 1.
It is also said to be uniformly smooth if the limit is attained uniformly for all.
The norm of is called uniformly Fréchet differentiable if the limit is attained uniformly for.
It is also said to be uniformly smooth if the limit is attained uniformly for.
A norm of is said to be Fréchet differentiable if is attained uniformly for for each.
g is called Fréchet differentiable at x if this limit is attained uniformly for (|y|=1).
The space E is said to have a Fréchet differentiable if for each x ∈ U, the limit attained uniformly for y ∈ U and uniformly Fréchet differentiable if, the limit attained uniformly for x, y ∈ U.
The norm of is uniformly G teaux differentiable if for each, the limit is attained uniformly for.
The norm of is uniformly Fréchet differentiable ( is also called uniformly smooth) if the limit is attained uniformly for each.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com