Naslov
Generalization of majorization theorem via Abel- Gontscharoff polynomial

Autori
Adil Khan, Muhammad ; Latif, Naveed ; Pečarić, Josip

Izvornik
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti (1845-4100) 19 (2015); 91-116

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

Ključne riječi
Majorization inequality; Abel-Gontscharoff formula; Čebyšev functional; Ostrowski-type inequality; n-exponential convexity

Sažetak
In this paper we use Abel-Gontscharoff formula and Green function to give some identities for the difference of majorization inequality and present the generalization of majorization theorem for the class of n-convex functions. We use inequalities for Čebyšev functional to obtain bounds for the terms related to generalizations of majorization inequalities. We present mean value theorems and n- exponential convexity for a functional obtained from the generalized majorization inequalities. At the end we discuss results for particular families of functions and give new means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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