Heliyon.
Elsevier Ltd.
Том 5.
2019.
In this paper, Levinson type inequalities are studied for the class of higher order convex functions by using Abel–Gontscharoff interpolation. Cebyšev, Grüss, and Ostrowski-type new bounds are also found for the functionals involving data points of two types. © 2019, The Author(s).