Generalisations of Steffensen's inequality via Fink identity and related results (CROSBI ID 204535)
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Pečarić, Josip ; Perušić, Anamarija ; Vukelić, Ana
engleski
Generalisations of Steffensen's inequality via Fink identity and related results
Starting from the result given in \cite{;andrea}; where the authors gave the extension of weighted Montgomery identity using Fink identity from \cite{;F2};, we give the generalizations of Steffensen's inequality. Also, we investigate the exponential convexity of differences of the left- hand and right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. They are used in studying Stolarsky type means.
Steffensen inequality; Montgomery identity; Fink identity; $n$-convex functions; $n$-exponentially convexity; means.
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