One-sided approximation in \(L\) of the characteristic function of an interval by trigonometric polynomials

DOI10.1134/S0081543813020041zbMath1360.42003MaRDI QIDQ2446995

Yu. V. Kryakin, V. A. Yudin, A. G. Babenko

Publication date: 23 April 2014

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

zbMATH Keywords

trigonometric polynomialsone-sided integral approximation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05)

Related Items

Estimates for mean-square norms of functions with lacunary Fourier series ⋮ One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval ⋮ 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 ⋮ Extremal functions with vanishing condition

Cites Work

• On mechanical quadratures formulae involving the classical orthogonal polynomials
• Positive quadrature formulas III: asymptotics of weights
• Some extremal functions in Fourier analysis
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