Pregled bibliografske jedinice broj: 914038
Popoviciu type inequalities via Hermite’s polynomial
Popoviciu type inequalities via Hermite’s polynomial // Mathematical inequalities & applications, 19 (2016), 4; 1309-1318 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 914038 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Popoviciu type inequalities via Hermite’s polynomial
Autori
Butt, Saad Ihsan ; Khan, Khuram Ali ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 19
(2016), 4;
1309-1318
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; divided difference ; Hermite interpolation ; Čebyšev functional ; Gruss inequality ; Ostrowski inequality ; exponential convexity
Sažetak
We obtain useful identities via Hermite interpolation polynomial, by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate the bounds for the identities extracted by the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional. Some results relating to the Gruss and Ostrowski type inequalities are constructed.
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
