External Jensen-type operator inequalities via superquadraticity (CROSBI ID 279653)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kian, Mohsen ; Krnić, Mario ; Rostamian Delavar, Mohsen
engleski
External Jensen-type operator inequalities via superquadraticity
In this paper we establish several Jensen-type operator inequalities for a class of superquadratic functions and self-adjoint operators. Our results are given in the so-called external form. As an application, we give improvements of the H\"{; ; ; o}; ; ; lder--McCarthy inequality and the classical discrete and integral Jensen inequality in the corresponding external forms. In addition, the established Jensen-type inequalities are compared with the previously known results and we show that our results provide more accurate estimates in some general settings.
Jensen inequality, inner product, positive operator, superquadratic function, external form
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Podaci o izdanju
14 (2)
2020.
287-299
objavljeno
1452-8630
10.2298/AADM191010031K