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

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.

Abstract licence: CC BY-NC

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