Naslov
Generalizations of majorization inequality via Lidstone’s polynomial and their applications

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

Izvornik
Communications in Mathematical Analysis (1938-9787) 19 (2016), 2; 101-122

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

Ključne riječi
Majorization inequailty ; Lidstone's polynomial ; Green's function ; (2n)-convex function ; Čebyšev functional ; Grüss type inequality ; Ostrowski-type inequality ; n-exponentially convex function ; mean value theorems ; Stolarsky type means

Sažetak
In this paper, we obtain the generalizations of majorization inequalities by using Lidstone's interpolating polynomials and conditions on Green's functions. We give bounds for identities related to the generalizations of majorization inequalities by using Čebyšev functionals. We also give Grüss type inequalities and Ostrowski-type inequalities for these functionals. We present mean value theorems and n-exponential convexity which leads to exponential convexity and then log-convexity for these functionals. We give some families of functions which enable us to construct a large families of functions that are exponentially convex and also give Stolarsky type means with their monotonicity.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA