On some quadrature rules with Gregory end corrections

How can one compute the sum of an infinite series \(s := a_1 + a_2 + \ldots\)? If the series converges fast, i.e., if the term \(a_n\) tends to \(0\) fast, then we can use the known bounds on this convergence to estimate the desired sum by a finite sum \(a_1 + a_2 + \ldots + a_n\). However, the seri...

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Bibliographic Details
Main Authors: Bogusław Bożek, Wiesław Solak, Zbigniew Szydełko
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2009-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol29/2/art/opuscula_math_2910.pdf