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Generalizations of Steffensen’s inequality via Taylor’s formula

Generalizations of Steffensen’s inequality via Taylor’s formula

We generalize Steffensen's inequality to the class of n-convex functions using Taylor's formula. Further, we use inequalities for the Čebyšev functional to obtain bounds for identities related to generalizations of Steffensen's inequality, and we give Ostrowski-type inequalities related to obtained generalizations. Finally, we apply our results to obtain new Stolarsky-type …