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On a problem proposed by H.Braß concerning the remainder term in quadrature for convex functions

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Publication:809293
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DOI10.1007/BF01386442zbMath0733.41031MaRDI QIDQ809293

Knut Petras, Klaus-Jürgen Förster

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/133480


zbMATH Keywords

Gaussian quadratureproduct quadratureJacobian weight functionspositive quadrature rules


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)


Related Items (5)

Gaussian quadrature formulae -- second Peano kernels, nodes, weights and Bessel functions ⋮ An improved error bound on Gauss quadrature ⋮ Optimal stochastic quadrature formulas for convex functions ⋮ Generalized Christoffel functions and error of positive quadrature ⋮ Error bound for product quadrature rules in \(L_ 1\)-weighted norm



Cites Work

  • Unnamed Item
  • The zeros of Jacobi and related polynomials
  • On Estimates for the Weights in Gaussian Quadrature in the Ultraspherical Case
  • Bemerkungen zur numerischen Quadratur. I
  • Integral representations of remainders


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