Pregled bibliografske jedinice broj: 279509
A variant of Jensen's inequality of Mercer's type for operators with applications
A variant of Jensen's inequality of Mercer's type for operators with applications // Linear Algebra and its Applications, 418 (2006), 2-3; 551-564 (međunarodna recenzija, članak, znanstveni)
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Naslov
A variant of Jensen's inequality of Mercer's type for operators with applications
Autori
Matković, Anita ; Pečarić, Josip ; Perić, Ivan
Izvornik
Linear Algebra and its Applications (0024-3795) 418
(2006), 2-3;
551-564
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen's operator inequality; monotonicity; power means; quasi-arithmetic means
Sažetak
A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
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,
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::
- Mathematical Reviews
