A unified generalization of some quadrature rules and error bounds

Details A unified generalization of some quadrature rules and error bounds A unified generalization of some quadrature rules and error bounds

2011-09-27

arxiv.org/abs/1109.6580v1

Mathematics

Numerical Analysis

13 pages, 0 figures

Scientific paper

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.

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