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Matematicheskie Zametki, 2013, Volume 94, Issue 6, Pages 806–818
DOI: https://doi.org/10.4213/mzm10101 (Mi mzm10101) 		 
Approximation of Continuous Functions by Broken Lines with Constraints on the Angles between Adjacent Segments

N. D. Baraboshkin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.4213/mzm10101
Abstract: The problem of best uniform approximation of a function continuous on an interval by piecewise linear continuous functions with fixed nodes and constraints on the angle between adjacent segments is considered.
Keywords: best approximation element, continuous functions, alternance criterion, uniform approximation.
Received: 10.09.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 6, Pages 843–853
DOI: https://doi.org/10.1134/S0001434613110217
Bibliographic databases:
Document Type: Article
UDC: 517.518.843
Language: Russian
Citation: N. D. Baraboshkin, “Approximation of Continuous Functions by Broken Lines with Constraints on the Angles between Adjacent Segments”, Mat. Zametki, 94:6 (2013), 806–818; Math. Notes, 94:6 (2013), 843–853
Citation in format AMSBIB
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