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Start Over Author "Volker Elling" Journal acta mathematica scientia
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1. Hölder continuity and differentiability on converging subsequences

Author

Volker Elling

Subjects
Holder exponent, General Mathematics, Weak solution, Mathematical analysis, Limit point, General Physics and Astronomy, Hölder condition, Differentiable function, Arbitrary function, Lipschitz continuity, Semi-differentiability, Mathematics
Abstract

It is shown that an arbitrary function from D ⊂ R n to R n will become C0, α-continuous in almost every x ∈ D after restriction to a certain subset with limit point x. For n ≥ m differentiability can be obtained. Examples show the Holder exponent α = min { 1 , n m } is optimal.

Published
2012
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