On generalized Takagi functions

DOI10.1007/BF01950992zbMath0627.26004MaRDI QIDQ581571

Norio Kono

Publication date: 1987

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

zbMATH Keywords

multiplicative systemTakagi's nondifferentiable function

Mathematics Subject Classification ID

Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (17)

Second order differentiability and related topics in the Takagi class ⋮ Functional equations for peculiar functions ⋮ A new generalization of the Takagi function ⋮ Approximate differentiability in the generalized Takagi-van der Waerden class ⋮ The Takagi function: a survey ⋮ The strong minimum principle for quasisuperminimizers of non-standard growth ⋮ Level sets of signed Takagi functions ⋮ On (signed) Takagi-Landsberg functions: \(p\)th variation, maximum, and modulus of continuity ⋮ On a class of generalized Takagi functions with linear pathwise quadratic variation ⋮ Differentiability of the functions of the generalized Takagi class ⋮ The improper infinite derivatives of Takagi's nowhere-differentiable function ⋮ On a flexible class of continuous functions with uniform local structure ⋮ On the rate of convergence for Takagi class functions ⋮ A probabilistic property of Katsuura's continuous nowhere differentiable function ⋮ Distribution of the maxima of random Takagi functions ⋮ A limit theorem for Bernoulli convolutions and the \(\Phi \)-variation of functions in the Takagi class ⋮ A generalization of Hata-Yamaguti's results on the Takagi function

Cites Work

• Weierstrass' function and chaos
• Pointwise convergence of expansions with respect to certain product systems
• Smooth functions
• On the absolute convergence of certain function series
• On the convergence of multiplicatively orthogonal series
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