𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Error bounds of certain Gaussian quadrature formulae

✍ Scribed by Miodrag M. Spalević; Miroslav S. Pranić

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
322 KB
Volume
234
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szegö weight functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective error bounds of the corresponding Gauss quadratures.

📜 SIMILAR VOLUMES

Convergence of Gaussian Quadrature Formu
Convergence of Gaussian Quadrature Formulas
✍ Ying Guang Shi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 124 KB

Convergence of a general Gaussian quadrature formula is shown and its rate of convergence is also given.

Error estimates for Gaussian quadratures
Error estimates for Gaussian quadratures of analytic functions
✍ Gradimir V. Milovanović; Miodrag M. Spalević; Miroslav S. Pranić 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 417 KB

For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at the points ±1 and the sum of semi-axes > 1 for the Chebyshev weight functions of