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Uniformly differentiable bump functions - MaRDI portal

Uniformly differentiable bump functions (Q1359063)

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scientific article; zbMATH DE number 1026247
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Uniformly differentiable bump functions
scientific article; zbMATH DE number 1026247

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    Uniformly differentiable bump functions (English)
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    24 June 1997
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    A construction of a uniformly Gâteaux differentiable (UG) norm from a UG bump function is demonstrated in this paper. The construction does not make use of the implicit function theorem. This construction also works for the uniformly Fréchet differentiable case.
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    uniformly Gâteaux differentiable norm
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    UG bump function
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    uniformly Fréchet differentiable
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