Cerone's generalizations of Steffensen's inequality (CROSBI ID 204587)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija
engleski
Cerone's generalizations of Steffensen's inequality
In this paper generalizations of Steffensen’s inequality with bounds involving any two subintervals motivated by Cerone’s generalizations are given. Furthermore, weaker conditions for Cerone’s generalization as well as for new generalizations obtained in this paper are given. Moreover, functionals defined as the difference between the left-hand and the right-hand side of these generalizations are studied and new Stolarsky type means related to them are obtained.
Steffensen inequality; monotonic functions; weaker conditions; exponential convexity; Stolarsky type means
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Podaci o izdanju
58
2014.
53-75
objavljeno
1210-3195
10.2478/tmmp-2014-0006