Pregled bibliografske jedinice broj: 1066600
External Jensen-type operator inequalities via superquadraticity
External Jensen-type operator inequalities via superquadraticity // Applicable Analysis and Discrete Mathematics, 14 (2020), 2; 287-299 doi:10.2298/AADM191010031K (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1066600 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
External Jensen-type operator inequalities via superquadraticity
Autori
Kian, Mohsen ; Krnić, Mario ; Rostamian Delavar, Mohsen
Izvornik
Applicable Analysis and Discrete Mathematics (1452-8630) 14
(2020), 2;
287-299
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen inequality, inner product, positive operator, superquadratic function, external form
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Krnić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus