Naslov
On Jensen's inequality involving averages of convex functions

Autori
Roqia, Ghulam ; Jakšetić, Julije ; Pečarić, Josip ;

Izvornik
Sarajevo Journal of Mathematics, (1840-0655) 8 (2012), 20; 53-68

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

Ključne riječi
Jensen’s inequality; log-convex function; exponential convexity

Sažetak
Using Wulbert result from [18] we deduce a method for constructing exponentially convex functions. To this date there is no known operative criteria for recognizing exponentially convex functions, so our method is of a special interest since there is a lack of examples of this class of functions. Constructed exponentially convex functions are then used for the construction of two and three parameters Cauchy means, that have the very nice property: they have the monotonicity property in their defining parameters. Particularly, we generalize recent results on Cauchy means from [2] and [4].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA