engleski

Generalisations of Steffensen's inequality via Fink identity and related results II

We use Fink’s identity to obtain new identities related to generalizations of Steffensen’s inequality. Ostrowski-type inequalities related to these generalizations are also given. Using inequalities for the Cebyšev functional we obtain bounds for these identities. Further, we use these identities to obtain new generalizations of Steffensen’s inequality for n-convex functions. Finally, we use these generalizations to construct a linear functional that generates exponentially convex functions.

Steffensen’s inequality ; Fink’s identity ; Ostrowski inequality ; Čebyšev functional ; n-exponential convexity ; exponential convexity ; log-convexity ; means.

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