Generalizations of Levinson-type inequalities via new Green functions and Hermite interpolating polynomial

Abstract In this study, Levinson-type inequalities for the class of n -convex (n 3 n ≥ 3) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points. Some estimations for novel functionals are derived using f -divergence. Furthermore, different inequalities involving Shannon entropies are presented.