Pregled bibliografske jedinice broj: 971283
Mutual bounds for Jensen-type operator inequalities related to higher order convexity
Mutual bounds for Jensen-type operator inequalities related to higher order convexity // Aequationes mathematicae, 93 (2019), 6; 1159-1176 (međunarodna recenzija, članak, znanstveni)
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Naslov
Mutual bounds for Jensen-type operator inequalities related to higher order convexity
Autori
Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
Izvornik
Aequationes mathematicae (0001-9054) 93
(2019), 6;
1159-1176
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen operator inequality, Lah-Ribari\v c operator inequality, $n$-convexity, mutual bounds
Sažetak
The main objective of this article is to establish mutual bounds for the Jensen operator inequality related to convex functions of higher order. First we give several mutual bounds for the operator version of the Lah-Ribari\v c inequality which hold for a class of $n$-convex functions. By virtue of the established estimates, we then derive several mutual bounds for the Jensen operator inequality which are also related to $n$-convex functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, 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
