Naslov
Inequalities of the Edmundson-Lah-Ribarič type for selfadjoint operators in Hilbert spaces

Autori
Mikić, Rozarija ; Pečarić, Josip

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

Izvornik
Mathematical Inequalities and Applications 2018, Book of Abstracts / - , 2018, 58-58

Skup
Conference in honor of Academician Josip Pečarić on the occasion of his 70th birthday

Mjesto i datum
Zagreb, Hrvatska, 04.07.2018. - 08.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
Jensen inequality ; Edmundson-Lah-Ribarič inequality ; n-convex functions ; divided differences ; scalar product ; means

Sažetak
By exploiting some scalar inequalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Jensen's inequality and in the Edmundson-Lah-Ribarič inequality for selfadjoint operators in Hilbert space that hold for the class of $n$-convex functions. As an application, main results are applied to quasi-arithmetic operator means, with a particular emphasis to power operator means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA