Pregled bibliografske jedinice broj: 1046311
Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces
Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces // Mathematical inequalities & applications, 22 (2019), 4; 1193-1213 doi:10.7153/mia-2019-22-82 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1046311 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces
Autori
Mikić, Rozarija ; Pečarić, Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 22
(2019), 4;
1193-1213
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen's inequality ; Edmundson-Lah-Ribarič's inequality ; scalar product ; n-convex functions ; divided differences ; operator means
Sažetak
By exploiting some scalar inequalities obtained via Hermite’s interpolating polynomial, we will obtain lower and upper bounds for the difference in Jensen’s inequality and in the Edmundson-Lah-Ribaric inequality for elfadjoint operators in Hilbert space that hold for the class of n-convex functions. As an application, main results are applied to quasi-arithmetic operator means, with a particular emphasis to power operator means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
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
