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Global error bounds for Gauss-Gegenbauer quadrature

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Publication:1159851
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DOI10.1007/BF01932845zbMath0475.41031MaRDI QIDQ1159851

H. V. Smith

Publication date: 1981

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

asymptotic methodStieltjes integralvariational techniquecomplex analysis21, 481-490 (1981)Stenger's error bound


Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Error analysis and interval analysis (65G99)


Related Items (4)

Some error expansions for Gaussian quadrature ⋮ On the evaluation of Hilbert transforms by means of a particular class of Turán quadrature rules ⋮ Composite Gauss–Legendre quadrature with error control ⋮ On polynomials orthogonal on the semicircle and applications



Cites Work

  • Unnamed Item
  • Bounds on the error of Gauss-type quadratures
  • Error estimates for a class of quadrature formulae
  • Error Estimates for Gauss Quadrature Formulas for Analytic Functions
  • On the Chebyshev Polynomials of the Second Kind
  • Error of the Newton-Cotes and Gauss-Legendre Quadrature Formulas


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