Abstract
New integral inequalities of Ostrowski type are developed for n-times differentiable mappings by using a 3-step kernel when either f((n)) is an element of L-1[a, b] or f is an element of L-2[a, b]. Some new inequalities are derived as special cases of the obtained inequalities. New efficient quadrature rules are also derived with the help of obtained inequalities. The efficiency of the new quadrature rules is demonstrated with the help of specific examples. Finally, applications for cumulative distribution functions is also provided. (C)2016 All rights reserved.