On an extremal problem for nonnegative trigonometric polynomials and the characterization of positive quadrature formulas with Chebyshev weight function

DOI10.1007/BF01895220zbMath0492.42005MaRDI QIDQ3954287

Franz Peherstorfer

Publication date: 1982

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

characterizationtrigonometric polynomialsquadrature formulas with weight functionpositive interpolatory

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Numerical quadrature and cubature formulas (65D32)

Cites Work

• On the representation of extremal functions in the \(L^1\)-norm
• Some positive Cotes numbers for the Chebyshev weight function
• Trigonometric polynomial approximation in the \(L^1\)-norm
• Numerical integration rules near Gaussian quadrature
• Approximation in the Metric of L 1 (X,μ)
• One-sided approximation of functions

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