Pregled bibliografske jedinice broj: 852881
An interpolation of Jensen's inequality and its applications to mean inequalities
An interpolation of Jensen's inequality and its applications to mean inequalities // Journal of Mathematical Inequalities, 12 (2018), 2; 303-313 doi:10.7153/jmi-2018-12-22 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 852881 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An interpolation of Jensen's inequality and its applications to mean inequalities
Autori
Mićić Hot, Jadranka ; Seo, Yuki
Izvornik
Journal of Mathematical Inequalities (1846-579X) 12
(2018), 2;
303-313
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen’s inequality ; positive linear map ; convex function ; Karcher mean ; quasiarithmetic mean
Sažetak
In this paper, we show operator versions of the inequality due to Cho, Matic and Pecaric in connection to Jensen’s inequality for convex functions. As applications, we obtain an interpolation of the weighted arithmetic- geometric mean inequality for the Karcher mean of positive invertible operators on a Hilbert space. Moreover, we obtain an interpolation between the quasi-arithmetic means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
The second author is partially supported by the Ministry of Education, Science, Sports and Culture, Grant- in-Aid for Scientific Research (C), JSPS KAKENHI Grant Number JP 16K05253.
POVEZANOST RADA
Projekti:
JP 16K05253
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb
Profili:
Jadranka Mićić Hot
(autor)
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
