Naslov
Jensen-type inequalities on time scales for n-convex functions

Autori
Mikić, Rozarija ; Pečarić, Josip

Izvornik
Communications in mathematical analysis (1938-9787) 21 (2018), 2; 46-67

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

Ključne riječi
Time scale ; linear functional ; Jensen's inequality ; n-convex functions ; means

Sažetak
By utilizing some scalar inequalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Jensen's inequality and in the Edmundson-Lah-Ribaric inequality in time scale calculus that hold for the class of n-convex functions. Main results are then applied to generalized means, with a particular emphasis to power means, and in that way some new reverse relations for generalized and power means that correspond to n-convex functions are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA