Best one-sided approximation in the mean of the characteristic function of an interval by algebraic polynomials

DOI10.1134/S0081543820020066OpenAlexW3029434668MaRDI QIDQ2185787

A. Yu. Torgashova, Marina Valer'evna Deikalova

Publication date: 5 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543820020066

zbMATH Keywords

algebraic polynomialsone-sided approximationcharacteristic function of an interval

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (2)

Optimal Hermite-Fejér interpolation of algebraic polynomials and the best one-sided approximation on the interval \([-1,1\)] ⋮ ONE-SIDED L-APPROXIMATION ON A SPHERE OF THE CHARACTERISTIC FUNCTION OF A LAYER

Cites Work

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• One-sided approximation in \(L\) of the characteristic function of an interval by trigonometric polynomials
• Quasi orthogonal Jacobi polynomials and best one-sided \(L_1\) approximation to step functions
• On polynomials of best one sided approximation
• One-sided approximation of a step by algebraic polynomials in the mean
• Some trigonometric extremal functions and the Erdos-Turan type inequalities

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