Companion of Ostrowski-type inequality based on 5-step quadratic kernel and applications

The purpose of this paper is to establish an improved version of companion of Ostrowski s type integral inequalities. The inequalities are obtained by using a newly developed special type of five steps quadratic kernel. The introduction of this new Kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules and Cumulative Distributive Functions are considered.