A Companion for the Generalized Ostrowski and the Generalized Trapezoid Type Inequalities

[[abstract]]In this paper we will establish a companion for the generalized Ostrowski and the generalized trapezoid inequalities, including functions of bounded variation, Lipschitzian, convex and absolutely continuous functions, which generalizes Barnett et al.’s some results (N.S. Barnett et al., Math. Comput. Modeling 50 (2009) 179-187). Applications for weighted means are also given