Asymptotic properties of derivatives of the Stieltjes polynomials

DOI10.1155/2012/482935zbMath1252.41004OpenAlexW2164889820WikidataQ58905964 ScholiaQ58905964MaRDI QIDQ1760702

Hee Sun Jung, Ryozi Sakai

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/482935

zbMATH Keywords

ultraspherical polynomialsStieltjes polynomialsHermite-Fejér interpolation polynomials

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Cites Work

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• Estimates for the first and second derivatives of the Stieltjes polynomials
• On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas
• Über gewisse orthogonale Polynome, die zu einer oszillierenden Belegungsfunktion gehören
• Asymptotic properties of Stieltjes polynomials and Gauss-Kronrod quadrature formulae
• Hermite and Hermite–Fejér interpolation for Stieltjes polynomials
• An Algebraic Study of Gauss-Kronrod Quadrature Formulae for Jacobi Weight Functions
• Stieltjes Polynomials and Related Quadrature Rules
• Stieltjes polynomials and Lagrange interpolation