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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.
Rasheed et al. (Fri,) studied this question.