Naslov
Complementary to Choi-Davis-Jensen type inequalities in external formulas

Autori
Mićić, Jadranka

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Mathematical Inequalities and applications 2018 / Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna - Zagreb : Element, 2018, 50-50

Skup
Mathematical Inequalities and applications 2018

Mjesto i datum
Zagreb, Hrvatska, 04.07.2018. - 08.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
positive linear map, concave function, operator inequality

Sažetak
The classical Jensen inequality is expressed by internally dividing points and so are non- commutative Jensen inequalities. Considering that it is expressed by externally dividing points, we shall discuss complementary to Choi-Davis-Jensen type inequalities from this point of view. \\ For example, looking at the external version of the Choi-Davis-Jensen inequality given in [1], we obtain complementary to this inequality under condition that f is a real valued concave function. Moreover, we observe improved and generalized inequalities by using results without concavity [2]. \\ References: \\ [1] J. I. Fujii, J. Pečarić and Y. Seo, The Jensen inequality in an external formula, J. Math. Inequal., 4 (2012), 473--480. \\ [2] J. Mićić, H.R. Moradi and S. Furuichi, Some complementary inequalities to Jensen's operator inequality, J. Inequal. Appl., 2018:25 (2018), 1--20.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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