Quadrature Formulas of Gaussian Type for Fast Summation of Trigonometric Series

DOI10.33205/cma.613948zbMath1463.65001OpenAlexW2981485512MaRDI QIDQ4971540

Gradimir V. Milovanović

Publication date: 12 October 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.613948

zbMATH Keywords

Laplace transformconvergenceweight functionsummationtrigonometric seriesorthogonal polynomialthree-term recurrence relationGaussian quadrature rule

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical summation of series (65B10)

Related Items

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Uses Software

• OrthogonalPolynomials
• OPQ

Cites Work

• The spiral of Theodorus, numerical analysis, and special functions
• Bernoulli and Euler numbers and orthogonal polynomials
• Summation of series and Gaussian quadratures. II
• Interpolation Processes
• Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series
• On Generating Orthogonal Polynomials
• A Class of Slowly Convergent Series and their Summation by Gaussian Quadrature
• Calculation of Gauss Quadrature Rules
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