Naslov
Steffensen type inequalities involving convex functions

Autori
Pečarić, Josip ; Smoljak, Ksenija

Izvornik
Mathematical inequalities & applications (1331-4343) 18 (2015), 1; 363-378

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Steffensen inequality; weaker conditions; convex function; exponential convexity
(Steffensen inequality; monotonic functions; weaker conditions; exponential convexity)

Sažetak
In this paper a new class of functions M_1^c[a, b] that extends the class of convex functions is introduced. Moreover, Steffensen type inequalities for the class of convex functions are proved as a consequence of more general inequalities for class M_1^c[a, b]. Using the linear functionals constructed from the difference of the left and the right hand side of proved Steffensen type inequalities new families of exponentially convex functions and related results are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA