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Generalisations of Steffensen's inequality via Fink identity and related results (CROSBI ID 204535)

Prilog u časopisu | izvorni znanstveni rad

Pečarić, Josip ; Perušić, Anamarija ; Vukelić, Ana Generalisations of Steffensen's inequality via Fink identity and related results // Advances in inequalities and applications, 2014 (2014), 9-1-9-18

Podaci o odgovornosti

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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Podaci o izdanju

2014

2014.

9-1-9-18

objavljeno

2050-7461

Povezanost rada

Matematika

Poveznice