Naslov
Mappings related to Jensen's and Levinson's operator inequalities

Autori
Mićić Hot, Jadranka

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

Izvornik
International Conference Mathematics: Applied / Jolevska-Tuneska, Biljana ; Atanasova-Pacemska, Tatjana ; Lazarova, Limonka ; Miteva, Marija ; Trifunov, Zoran ; Tuneski, Nikola - Skopje : Union of researchers of Republic of Macedonia, 2016, 21-21

Skup
International Conference Mathematics: Applied

Mjesto i datum
Ohrid, Sjeverna Makedonija, 21.08.2016. - 24.08.2016

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Jensen inequality; Levinson inequality; Lipschitzian mapping; Hilbert space; Banach space

Sažetak
The goal of my talk is to present some results about mappings related to Jensen's and Levinson's operator inequalities for Hilbert space operators. Some properties of these mappings are observed: operator convexity, monotonicity and quasi linearity. As applications, refinements and extensions of some know inequalities are obtained. As a continuation of this research, some inequalities of Jensen's and Levinson's type for Lipschitzian mappings between two Banach spaces are considered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA