The corrected quadrature rules are considered and the estimations of error involving the second derivative are given. The numerical examples which provides that the approximation in corrected rule of a optimal quadrature formula in sense Nikolski is better than in the original rule are considered.
Maria Acu, Ana and Babos, Alina
"Some Optimal Quadrature Formulas and Error Bounds,"
Applied Mathematics & Information Sciences: Vol. 06
, Article 6.
Available at: https://dc.naturalspublishing.com/amis/vol06/iss3/6