Pregled bibliografske jedinice broj: 914032
Generalization of Majorization theorem via Taylor’s formula
Generalization of Majorization theorem via Taylor’s formula // Mathematical inequalities & applications, 19 (2016), 4; 1257-1269 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 914032 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of Majorization theorem via Taylor’s formula
Autori
Butt, Saad Ihsan ; Kvesić, Ljiljanka ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 19
(2016), 4;
1257-1269
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; divided difference ; Taylor’s formula ; Čebyšev functional ; Gruss inequality ; Ostrowski inequality ; exponential convexity
Sažetak
We give generalization of majorization theorem for the class of n-convex functions by using Taylor’s formula. We use inequalities for the Čebyšev functional to obtain bounds for the identities related to generalizations of majorization inequalities. We present mean value theorems and n−exponential convexity for the functional obtained from the generalized majorization inequalities. At the end we discuss the results for particular families of function and give means
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus