A new proof of the approximate convexity of the Takagi function

DOI10.1007/s10474-017-0695-5zbMath1399.39057OpenAlexW2590243603MaRDI QIDQ1701423

Judit Makó

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0695-5

zbMATH Keywords

convexityTakagi functionapproximate convexity

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (3)

A class of nowhere differentiable functions satisfying some concavity-type estimate ⋮ On approximately convex and affine functions ⋮ On approximately monotone and approximately Hölder functions

Cites Work

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• The Takagi function: a survey
• An inequality for sums of binary digits, with application to Takagi functions
• The finite cardinalities of level sets of the Takagi function
• Approximate convexity of Takagi type functions
• Takagi functions and approximate midconvexity
• On the stability of \(t\)-convex functions
• On approximately convex Takagi type functions
• Van Der Waerden's Continuous Nowhere Differentiable Function
• On Van Der Waerden's Nowhere Differentiable Function
• On Approximately Convex Functions
• ON APPROXIMATELY MIDCONVEX FUNCTIONS
• On approximate t-convexity
• An inequality for the Takagi function
• Approximately Convex Functions

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