Generalizations of Steffensen's inequality via two-point Abel-Gontscharoff polynomial

Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen's inequality for n-convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Cebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given. © 2019 Josip Pečarić et al., published by Sciendo 2019.