RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2013 Volume 94, Issue 6, Pages 806–818 (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

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.

UDC: 517.518.843

Received: 10.09.2012

DOI: 10.4213/mzm10101


 English version: Mathematical Notes, 2013, 94:6, 843–853

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024