On the relationship between the dimension of the Lebesgue-Stieltjes measure and the rate of approximation of a function by step functions

DOI10.1134/S1064562418020151zbMath1396.41016OpenAlexW2803376005MaRDI QIDQ721817

Yu. V. Tikhonov

Publication date: 20 July 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418020151

zbMATH Keywords

Hausdorff dimensionLebesgue-Stieltjes measurerate of approximation

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Cites Work

• Unnamed Item
• On the rate of approximation of singular functions by step functions
• On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
• On a Spectral Problem Related to Self-Similar Measures

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