Pregled bibliografske jedinice broj: 820979
Popoviciu type inequalities via Green function and generalized Montgomery identity
Popoviciu type inequalities via Green function and generalized Montgomery identity // Mathematical inequalities & applications, 18 (2015), 4; 1519-1538 doi:10.7153/mia-18-118 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 820979 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Popoviciu type inequalities via Green function and generalized Montgomery identity
Autori
Butt, Saad Ihsan ; Khan, Khuram Ali ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 18
(2015), 4;
1519-1538
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Convex function; divided difference; generalized Montgomery identity; Čebyšev functional; Grüss inequality; Ostrowski inequality; exponential convexity
Sažetak
We obtained useful identities via generalized Montgomery identity, by which the inequality of Popoviciu for convex functions is generalized for higher order convex functions. We investigate the bounds for the identities related to the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional. Some results relating to the Grüss and Ostrowski type inequalities are constructed. Further, we also construct new families of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with the obtained inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(autor)
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
