Error estimates for quadrature rules with maximal even trigonometric degree of exactness

DOI10.1007/s13398-013-0129-3zbMath1345.65017OpenAlexW2012682024MaRDI QIDQ740710

Aleksandar S. Cvetković, Tatjana V. Tomović, Marija P. Stanić

Publication date: 9 September 2014

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-013-0129-3

zbMATH Keywords

numerical exampleanalytic functionquadrature ruleerror estimateorthogonalitytrigonometric polynomialsemi-integer degree

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40) Trigonometric polynomials, inequalities, extremal problems (42A05)

Uses Software

• Sinc-Pack

Cites Work

• Error bounds of certain Gaussian quadrature formulae
• Error estimates for Gaussian quadratures of analytic functions
• Gaussian quadrature of Chebyshev polynomials
• Some error expansions for Gaussian quadrature
• Trigonometric orthogonal systems and quadrature formulae
• Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree
• Bounds on the error of Gauss-type quadratures
• Trigonometric Orthogonal Systems
• Error Bounds for Gaussian Quadrature of Analytic Functions
• Interpolation Processes
• A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule
• Integral formulas for Chebyshev polynomials and the error term of interpolatory quadrature formulae for analytic functions
• The remainder term for analytic functions of symmetric Gaussian quadratures
• A trigonometric orthogonality with respect to a nonnegative Borel measure
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