Naslov
Some recent results about Levinson's operator inequality and its converses

Autori
Mićić Hot, Jadranka

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

Izvornik
Material, Geology and Enviroment, Mathematics / Kim, Jong Kyu ; He, Tian-Xiao He ; Gao, Ji - Suzhou : Science research publishing, 2016, 11-11

Skup
The 2nd International Conference on Functional Analysis

Mjesto i datum
Suzhou, Kina, 25.07.2016. - 27.07.2016

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
self-adjoint operator ; convex function ; Mond-Pecaric method ; Jensen inequality ; Levinson inequality.

Sažetak
The goal of my talk is to present Levinson's inequality and its converses for Hilbert space operators. At first we give general formulations of Levison's operator inequality and its converses for some large class of "3-convex functions at a point c" and normalized positive linear mappings. Consequently, order among quasi-arithmetic operator means is obtained. In addition, we consider the construction of mappings related to Levinson's inequality. Some properties of these mappings are observed: operator convexity, monotonicity and quasi linearity. To obtain these results, we give appropriate mappings related to the Davis-Choi- Jensen operator inequality. Moreover, we consider mappings related to converses of Levinson's operator inequality. As applications, refinements and extensions of some know inequalities are obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA