One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval
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Publication:1675309
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
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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