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Refined converses of Jensen's inequality for operators


Mićić, Jadranka; Pečarić, Josip; Perić, Jurica
Refined converses of Jensen's inequality for operators // Mathematical Inequalities and Applications
Mostar, Bosna i Hercegovina, 2015. (pozvano predavanje, sažetak, znanstveni)


Naslov
Refined converses of Jensen's inequality for operators

Autori
Mićić, Jadranka ; Pečarić, Josip ; Perić, Jurica

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Mathematical Inequalities and Applications

Mjesto i datum
Mostar, Bosna i Hercegovina, 11-15. 11. 2015.

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Neobjavljeni rad

Ključne riječi
Mond-Pečarić method; self-adjoint operator; positive linear mapping; converse of Jensen’s operator inequality; convex function

Sažetak
In this paper converses of a generalized Jensen’s inequality for a continuous field of self-adjoint operators, a unital field of positive linear mappings and real-valued continuous convex functions are studied. New refined converses are presented by using the Mond-Pečarić method improvement. Obtained results are applied to refine selected inequalities with power functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split