PERTURBED COMPANIONS OF OSTROWSKI TYPE INEQUALITIES FOR N-TIMES DIFFERENTIABLE FUNCTIONS AND APPLICATIONS

Abstract

We firstly examine some inequalities obtained by using sets of complex-valued functions for functions whose high order derivatives are restricted. We also give some approximations for the functions whose derivatives up to the order n - 1 (n >= 1) are continuous and whose the nth derivatives are of bounded variation. So, the results provide extensions of those presented in earlier works.