Affiliation:
1. K.N. Toosi University of Technology, Department of Mathematics, Tehran, Iran
Abstract
It is well-known that the remaining term of any n-point interpolatory
quadrature rule such as Gauss-Legendre quadrature formula depends on at least
an n-order derivative of the integrand function, which is of no use if the
integrand is not smooth enough and requires a lot of differentiation for
large n. In this paper, by defining a specific linear kernel, we resolve this
problemand obtain new bounds for the error of Gauss-Legendre quadrature
rules. The advantage of the obtained bounds is that they do not depend on the
norms of the integrand function. Some illustrative examples are given in this
direction.
Publisher
National Library of Serbia
Cited by
3 articles.
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