Title of article :
VARIOUS ERROR ESTIMATIONS FOR SEVERAL NEWTON–COTES QUADRATURE FORMULAE IN TERMS OF AT MOST FIRST DERIVATIVE AND APPLICATIONS IN NUMERICAL INTEGRATION
Author/Authors :
ALOMARI, M. W. Jadara University - Faculty of Science and Information Technology - Department of Mathematics, Jordan , DRAGOMIR, S. S. Victoria University - School of Engineering Science - Departments of Mathematics, Australia
Abstract :
Error estimates for midpoint, trapezoid, Simpson’s, Maclaurin’s, 3/8-Simpson’s and Boole’s type rules are obtained. Some related inequalities of Ostrowski’s type are pointed out. These results are obtained for mappings of bounded variation, Lipschitzian, and absolutely continuous mappings whose first derivatives are belong to Lp [a, b] (1 ≤ p ≤ ∞). Applications to numerical integration are provided.
Keywords :
Newton–Cotes formulae , Numerical integration , Ostrowski’s inequality.
Journal title :
Jordan Journal Of Mathematics and Statistics
Journal title :
Jordan Journal Of Mathematics and Statistics
