Naslov
Operator inequalities involving real convex functions

Autori
Mićić, Jadranka ; Moslehian, Mohammad Sal ; Kian, Mohsen

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

Izvornik
Book of Abstracts 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina. Sanja - Rijeka : Fintrade & Tours, 2012, 69-69

ISBN
978-953-7720-13-1

Skup
5th Croatian Mathematical Congress

Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
self-adjoint operator; positive linear mapping; convex function; Jensen's operator inequality

Sažetak
We establish a general convexity operator inequality involving real convex functions. Some special cases, examples and a variety of its consequences are also given. In particular, we prove that the inequality f(A)+f(B)<= f(A+B) holds for a real convex function f and positive operators A, B with A, B<= MI<= A+B for some scalar M>0. Also, we show that if f is a real convex function and A, B, C, D are self-adjoint operators with A<= mI<= C, D<= MI<= B for some scalars m<= M, then f(C)+f(D)<= f(A)+f(B).

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Računarstvo

POVEZANOST RADA