Non approximate derivability of the Takagi function

2018/07/23 by Juan Ferrera, Ferrera, Juan, Javier Gómez Gil +1
Mathematics · #26A24 #26A27 #Advanced Combinatorial Mathematics #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #math.CA #msc:26A24 #msc:26A27

paper · pdf · doi:10.48550/arxiv.1807.08783

6 pages. Version final. Some misprints have been corrected One reference deleted. Accepted for publication in Journal of Convex Analysis

openalex publication_date 2018/07/23 · arxiv created 2019/06/24 · arxiv updated 2019/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Takagi function is a classical example of a continuous nowhere differentiable function. In this paper we prove that it is nowhere approximately derivable.

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