Takagi functions and approximate midconvexity

DOI10.1016/j.jmaa.2009.03.053zbMath1188.26008OpenAlexW2036595868WikidataQ112226075 ScholiaQ112226075MaRDI QIDQ1025054

Józef Tabor, Jacek Tabor

Publication date: 18 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.03.053

zbMATH Keywords

Takagi functionapproximate convexityparaconvexityJensen convexity

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51)

Related Items (19)

Applications of de Rham theorem in approximate midconvexity ⋮ Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps ⋮ Step roots of Littlewood polynomials and the extrema of functions in the Takagi class ⋮ Extensions of convex and semiconvex functions and intervally thin sets ⋮ Approximate convexity with respect to a subfield ⋮ Optimality estimations for approximately midconvex functions ⋮ On global extrema of power Takagi functions ⋮ The Takagi function: a survey ⋮ Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities ⋮ A new proof of the approximate convexity of the Takagi function ⋮ Numerical verification of condition for approximately midconvex functions ⋮ Korovkin type theorems and approximate Hermite-Hadamard inequalities ⋮ Strengthening of strong and approximate convexity ⋮ On (signed) Takagi-Landsberg functions: \(p\)th variation, maximum, and modulus of continuity ⋮ Approximate convexity and an edge-isoperimetric estimate ⋮ An inequality for sums of binary digits, with application to Takagi functions ⋮ How large are the level sets of the Takagi function? ⋮ Approximate convexity of Takagi type functions ⋮ On approximately convex Takagi type functions

Cites Work

• Sur un exemple de fonction continue sans dérivée
• Sur l'exemple, donné par M. de Rham, d'une fonction continue sans dérivée
• Approximately convex functions and approximately monotonic operators
• Functional equations for peculiar functions
• On the Hausdorff Dimension of Some Graphs
• On differentiability of strongly α(⋅)-paraconvex functions in non-separable Asplund spaces
• ON APPROXIMATELY MIDCONVEX FUNCTIONS
• On approximate t-convexity
• An inequality for the Takagi function
• Approximately Convex Functions
• Extreme values of some continuous nowhere differentiable functions
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