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Pregled bibliografske jedinice broj: 1066600

External Jensen-type operator inequalities via superquadraticity


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 (međunarodna recenzija, članak, znanstveni)


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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:

Avatar Url Mario Krnić (autor)

Poveznice na cjeloviti tekst rada:

doi pefmath.etf.rs

Citiraj ovu publikaciju:

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 (međunarodna recenzija, članak, znanstveni)
Kian, M., Krnić, M. & Rostamian Delavar, M. (2020) External Jensen-type operator inequalities via superquadraticity. Applicable Analysis and Discrete Mathematics, 14 (2), 287-299 doi:10.2298/AADM191010031K.
@article{article, author = {Kian, Mohsen and Krni\'{c}, Mario and Rostamian Delavar, Mohsen}, year = {2020}, pages = {287-299}, DOI = {10.2298/AADM191010031K}, keywords = {Jensen inequality, inner product, positive operator, superquadratic function, external form}, journal = {Applicable Analysis and Discrete Mathematics}, doi = {10.2298/AADM191010031K}, volume = {14}, number = {2}, issn = {1452-8630}, title = {External Jensen-type operator inequalities via superquadraticity}, keyword = {Jensen inequality, inner product, positive operator, superquadratic function, external form} }
@article{article, author = {Kian, Mohsen and Krni\'{c}, Mario and Rostamian Delavar, Mohsen}, year = {2020}, pages = {287-299}, DOI = {10.2298/AADM191010031K}, keywords = {Jensen inequality, inner product, positive operator, superquadratic function, external form}, journal = {Applicable Analysis and Discrete Mathematics}, doi = {10.2298/AADM191010031K}, volume = {14}, number = {2}, issn = {1452-8630}, title = {External Jensen-type operator inequalities via superquadraticity}, keyword = {Jensen inequality, inner product, positive operator, superquadratic function, external form} }

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


Citati:





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