engleski

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 means.

Steffensen's inequality; Taylor's formula; Čebyšev functional; Ostrowski-type inequality; Stolarsky-type mean

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