One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval

DOI10.1134/S0081543817050029zbMath1380.41002OpenAlexW2753531552MaRDI QIDQ1675309

A. G. Babenko, Marina Valer'evna Deikalova, Szilárd Gy. Révész

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1134/s0081543817050029

zbMATH Keywords

characteristic functionpolynomialsone-sided approximation

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (3)

One-sided integral approximation of the characteristic function of an interval by algebraic polynomials ⋮ Best one-sided approximation in the mean of the characteristic function of an interval by algebraic polynomials ⋮ ONE-SIDED L-APPROXIMATION ON A SPHERE OF THE CHARACTERISTIC FUNCTION OF A LAYER

Cites Work

• Gaussian, Lobatto and Radau positive quadrature rules with a prescribed abscissa
• On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line
• 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
• Positive quadrature formulas III: asymptotics of weights
• Some trigonometric extremal functions and the Erdos-Turan type inequalities
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