Perturbations of an Ostrowski Type Inequality and Applications

نویسنده

  • NENAD UJEVIĆ
چکیده

Using (1.1), the authors obtained estimations of error for the mid-point, trapezoid, and Simpson quadrature formulae. They also gave applications of the mentioned results in numerical integration and for special means. In this paper, we establish two perturbations of (1.1). Using the perturbations, we derive some new error bounds for the mid-point, trapezoid, and Simpson quadrature formulae. Similar perturbed inequalities are also considered in [2, 3]. We give applications in numerical integration. It is shown that these new bounds can give much better results than the bounds obtained in [4].

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تاریخ انتشار 2002