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Matematicheskie Zametki, 2012, Volume 91, Issue 1, Pages 24–39
DOI: https://doi.org/10.4213/mzm8827 (Mi mzm8827) 		 
A Tree Labeling Problem with an Application to Optimal Approximation of Continuous Functions

V. V. Galatenko

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm8827
Abstract: We state a tree labeling problem, give an algorithm for solving it, and discuss some complexity characteristics of the algorithm. Furthermore, we discuss applications of these results to the approximation of a continuous function with given accuracy by linear combinations of characteristic functions of dyadic intervals with as few summands as possible. We also touch upon issues concerning tree-aided signal discretization.
Keywords: trees labeling, complexity, function approximation, $n$-term approximation, signal discretization.
Received: 24.06.2010
Revised: 16.10.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 1, Pages 22–33
DOI: https://doi.org/10.1134/S0001434612010038
Bibliographic databases:
Document Type: Article
UDC: 519.172.1+517.518.3
Language: Russian
Citation: V. V. Galatenko, “A Tree Labeling Problem with an Application to Optimal Approximation of Continuous Functions”, Mat. Zametki, 91:1 (2012), 24–39; Math. Notes, 91:1 (2012), 22–33
Citation in format AMSBIB
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