A unified generalization of some quadrature rules and error bounds
Numerical Analysis
2011-09-30 v1
Abstract
By introducing a parameter, we give a unified generalization of some quadrature rules, which not only unify the recent results about error bounds for generalized mid-point, trapezoid and Simpson's rules, but also give some new error bounds for other quadrature rules as special cases. Especially, two sharp error inequalities are derived when n is an odd and an even integer, respectively.
Keywords
Cite
@article{arxiv.1109.6580,
title = {A unified generalization of some quadrature rules and error bounds},
author = {Wenjun Liu and Yong Jiang and Adnan Tuna},
journal= {arXiv preprint arXiv:1109.6580},
year = {2011}
}
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13 pages, 0 figures