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External Jensen-type operator inequalities via superquadraticity (CROSBI ID 279653)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kian, Mohsen ; Krnić, Mario ; Rostamian Delavar, Mohsen External Jensen-type operator inequalities via superquadraticity // Applicable Analysis and Discrete Mathematics, 14 (2020), 2; 287-299. doi: 10.2298/AADM191010031K

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

Povezanost rada

Matematika

Poveznice
Indeksiranost