Porosity and continuous, nowhere differentiable functions

DOI10.5802/afst.755zbMath0781.26004OpenAlexW2021482042MaRDI QIDQ1261231

Valeriu Anisiu

Publication date: 31 August 1993

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1993_6_2_1_5_0

zbMATH Keywords

Banach spacecontinuous functionsporous setnowhere differentiable functions\(p\)-typical function

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (2)

A brief note about iterates of derivatives in \(C[0,1\) and other spaces] ⋮ Porous sets that are Haar null, and nowhere approximately differentiable functions

Cites Work

• Real functions
• On continuous functions with no unilateral derivatives
• Singularities of the Weierstrass type functions
• Porosity and \(\sigma\)-porosity
• How Many Sets are Porous?
• Where the Continuous Functions Without Unilateral Derivatives are Typical
• Frechet Differentiation of Convex Functions in a Banach Space with a Separable Dual
• Sets of $\sigma$-porosity and sets of $\sigma $-porosity $(q)$
• Approximate smoothness of continuous functions

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