Pregled bibliografske jedinice broj: 380292
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality // Mathematical Inequalities & Applications, 12 (2009), 2; 413-432 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 380292 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality
Autori
Barić, Josipa ; Matić, Marko ; Pečarić, Josip
Izvornik
Mathematical Inequalities & Applications (1331-4343) 12
(2009), 2;
413-432
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen-Steffensen’ s inequality; convex functions; bounds
Sažetak
We consider the inequalities for normalized Jensen functional, recently introduced by S.S. Dragomir. We give an alternative proof of such inequalities and prove another similar result for the case when f is a convex function on an interval in the real line, while p and q satisfy the conditions for Jensen-Steffensen inequality. We show that our result improves the result of Dragomir in this special case. We also prove the integral versions of all our results, including those related to Boas’ generalization of Jensen-Steffensen integral inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
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
