Naslov
Improved Jensen-type inequalities for operators and matrices based on linear interpolation

Autori
Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip

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

Skup
Mathematical Inequalities and Applications 2018 (MIA 2018), Conference in honor of Academician Josip Pečarić on the ocasion of his 70th birthday

Mjesto i datum
Zagreb, Hrvatska, 04.07.2018. - 08.07.2018

Vrsta sudjelovanja
Plenarno

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Jensen inequality, linear interpolation, improvement, operator inequality, matrix inequality

Sažetak
Motivated by a recent refinement of the scalar Jensen inequality obtained via linear interpolation, in this talk 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