Operator inequalities involving real convex functions (CROSBI ID 589041)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Mićić, Jadranka ; Moslehian, Mohammad Sal ; Kian, Mohsen
engleski
Operator inequalities involving real convex functions
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).
self-adjoint operator; positive linear mapping; convex function; Jensen's operator inequality
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Podaci o prilogu
69-69.
2012.
objavljeno
Podaci o matičnoj publikaciji
Book of Abstracts 5th Croatian Mathematical Congress
Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina. Sanja
Rijeka: Fintrade & Tours
978-953-7720-13-1
Podaci o skupu
5th Croatian Mathematical Congress
predavanje
18.06.2012-21.06.2012
Rijeka, Hrvatska