Ostrowski type inequalities for functions whose higher order derivatives have a single point of non-differentiability

摘要

Ostrowski type inequalities for the class of functions whose (n-1)th order derivatives are continuous, of bounded variation and have a single point of non-differentiability are derived. Special attention is given to functions whose first derivative has a single point of non-differentiability. Improvements of some previously obtained results are provided.