A boundedness criterion for the variations of self-similar functions

DOI10.1134/S0037446612010053zbMath1273.28009MaRDI QIDQ416977

N. V. Gaganov, I. A. Sheipak

Publication date: 10 May 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

function of bounded variationself-similar function

Mathematics Subject Classification ID

Fractals (28A80) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (4)

Matrix semigroups with constant spectral radius ⋮ Resonance and marginal instability of switching systems ⋮ Hölder exponents of self-similar functions ⋮ Linear switching systems with slow growth of trajectories

Cites Work

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• Sur une courbe plane
• Sur les courbes limités de polygones obtenus par trisection
• Refinement equations with nonnegative coefficients
• Indefinite Sturm-Liouville problem for some classes of self-similar singular weights
• On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight
• On a Spectral Problem Related to Self-Similar Measures
• Fractal curves and wavelets

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