Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness

DOI10.1007/S00211-009-0219-5zbMath1173.65017OpenAlexW2001134214WikidataQ115058739 ScholiaQ115058739MaRDI QIDQ1027740

Marija P. Stanić, Gradimir V. Milovanović, Aleksandar S. Cvetković

Publication date: 30 June 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0219-5

zbMATH Keywords

numerical integrationquadrature and cubature formulastrigonometric polynomials, inequalities, extremal problems

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (3)

Quadrature Rules with Multiple Nodes ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ Trigonometric Orthogonal Systems

Uses Software

• OrthogonalPolynomials

Cites Work

• Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas
• Quadrature formulae with free nodes for periodic functions
• \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae
• On trigonometric and paratrigonometric Hermite interpolation
• Calculation of Gaussian-type quadratures with multiple nodes
• Trigonometric orthogonal systems and quadrature formulae
• Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree
• Trigonometric Orthogonal Systems and Quadrature Formulae with Maximal Trigonometric Degree of Exactness
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