Pregled bibliografske jedinice broj: 764225
Generalization of Popoviciu-Type Inequalities Via Fink’s Identity
Generalization of Popoviciu-Type Inequalities Via Fink’s Identity // Mediterranean journal of mathematics, 13 (2016), 4; 1495-1511 doi:10.1007/s00009-015-0573-8 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalization of Popoviciu-Type Inequalities Via Fink’s Identity
Autori
Saad Ihsan Butt ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Mediterranean journal of mathematics (1660-5446) 13
(2016), 4;
1495-1511
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Convex function; divided difference; Fink’s identity; Čebyšev functional; Gr\
Sažetak
We obtained useful identities via Fink’s 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 Gr\" uss and Ostrowski type inequalities are constructed. Further, we also construct new families of exponentially convex functions and Cauchy-type means by looking at linear functional 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:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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
