✦ LIBER ✦

Convergence of Newton-Cotes quadratures for analytic functions

✍ Scribed by M. M. Chawla

Publisher: Springer Netherlands
Year: 1971
Tongue: English
Weight: 326 KB
Volume: 11
Category: Article
ISSN: 0006-3835
DOI: 10.1007/bf01934363

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Optimal quadratures for analytic functio

Optimal quadratures for analytic functions

✍ M. M. Chawla; B. L. Raina 📂 Article 📅 1972 🏛 Springer Netherlands 🌐 English ⚖ 621 KB

On a generalization of compound Newton-C

On a generalization of compound Newton-Cotes quadrature formulas

✍ Peter Köhler 📂 Article 📅 1991 🏛 Springer Netherlands 🌐 English ⚖ 272 KB

A study on the average case error of com

A study on the average case error of composite Newton-Cotes quadratures

✍ Sung Hee Choi; Jung Ho Park; Yoon Young Park 📂 Article 📅 2003 🏛 Springer-Verlag 🌐 English ⚖ 158 KB

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

Newton spaces of analytic functions

✍ E Kay; D Trutt 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 212 KB

The remainder term for analytic function

The remainder term for analytic functions of Gauss-Lobatto quadratures

✍ Thomas Schira 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 1021 KB

For analytic functions the remainder term of Gauss-Lobatto quadrature rules can be represented as a contour integral with a complex kernel. In this paper the kernel is studied on elliptic contours for the Chebyshev weight functions of the second, third, and fourth kind. Starting from explicit expres