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Cerone's generalizations of Steffensen's inequality (CROSBI ID 204587)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pečarić, Josip ; Perušić, Anamarija ; Smoljak, Ksenija Cerone's generalizations of Steffensen's inequality // Tatra mountains mathematical publications, 58 (2014), 53-75. doi: 10.2478/tmmp-2014-0006

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

Povezanost rada

Temeljne tehničke znanosti, Matematika

Poveznice
Indeksiranost