On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas

DOI10.1016/0021-9045(92)90083-ZzbMath0760.41020OpenAlexW2050191834MaRDI QIDQ1198150

Franz Peherstorfer

Publication date: 16 January 1993

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90083-z

zbMATH Keywords

Stieltjes polynomialsKronrod-quadrature weights

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items

Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients, Interlacing properties of zeros of associated polynomials, Estimates for the first and second derivatives of the Stieltjes polynomials, Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions, Stieltjes polynomials and functions of the second kind, A special class of polynomials orthogonal on the unit circle including the associated polynomials, Zeros of linear combinations of orthogonal polynomials, Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules, Stieltjes polynomials and Lagrange interpolation, Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\), Asymptotics of Chebyshev polynomials. IV: Comments on the complex case, Stopping functionals for Gaussian quadrature formulas, Asymptotic properties of derivatives of the Stieltjes polynomials, Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature, Hermite and Hermite–Fejér interpolation for Stieltjes polynomials, Convergence of Lagrange interpolation processes based on a new systems of nodes

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