On the rate of approximation of singular functions by step functions

DOI10.1134/S0001434614030250zbMath1314.41016MaRDI QIDQ2342009

Yu. V. Tikhonov

Publication date: 8 May 2015

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

zbMATH Keywords

Lebesgue-Stieltjes measureCantor functionHölder's inequalityLebesgue measureself-similar functionapproximations of monotone functions by step functionscriterion for the singularity of functionsspace \(L_p\)

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (1)

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

Cites Work

• On the Neumann problem for the Sturm-Liouville equation with Cantor-type self-similar weight
• 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

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