Following Banach’s proof of a celebrated result, we prove that the set of continuous functions of one variable having bilateral, infinite derivative at least at one point, is of first Baire’s category.
Perfetti, P. (2011). On the continuous functions having bilateral infinite derivative at no point,. MATHEMATICAL REFLECTIONS, 2011(6), 1-6.
On the continuous functions having bilateral infinite derivative at no point,
PERFETTI, PAOLO
2011-01-01
Abstract
Following Banach’s proof of a celebrated result, we prove that the set of continuous functions of one variable having bilateral, infinite derivative at least at one point, is of first Baire’s category.File in questo prodotto:
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