Pregled bibliografske jedinice broj: 901745
More accurate classes of Jensen-type inequalities for convex and operator convex functions
More accurate classes of Jensen-type inequalities for convex and operator convex functions // Mathematical Inequalities & Applications, 21 (2018), 2; 301-321 doi:10.7153/mia-2018-21-22 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 901745 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
More accurate classes of Jensen-type inequalities for convex and operator convex functions
Autori
Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip
Izvornik
Mathematical Inequalities & Applications (1331-4343) 21
(2018), 2;
301-321
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen inequality, Young inequality, convexity, operator convexity, operator mean, refinement
Sažetak
Motivated by a recent refinement of the scalar Jensen inequality obtained via linear interpolation, in this paper we develop a general method for improving two classes of Jensen-type inequalities for bounded self-adjoint operators. The first class refers to a usual convexity, while the second one deals with the operator convexity. The general results are then applied to quasi-arithmetic and power operator means. As a consequence, we obtain strengthened forms of the inequalities between arithmetic, geometric and harmonic operator means. We also obtain more accurate Young-type inequalities for unitarily invariant norms as well as more precise relations for some important jointly concave mappings.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
