Naslov
Generalized potential inequality and exponential convexity

Autori
Elezović, Neven ; Pečarić, Josip ; Praljak, Marjan

Izvornik
Matematički bilten (0351-336X) 37 (2013), 2; 83-100

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

Ključne riječi
Potential inequality; n-convex function; exponential convexity

Sažetak
In this paper we generalize the potential inequality which was introduced in [6] and extended to the class of naturally defined convex functions in [1]. The generalization is achieved by replacing the 1st order Taylor expansion of a convex function in the proof of the potential inequality with the n-th order Taylor expansion of an (n + 1)-convex function. Furthermore, by using methods developed in [4] and [2] we construct several families of n-exponentially convex functions by making use of linearity of the generalized potential inequality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA