Naslov
Reverses of Ando and Davis-Choi Inequalities

Autori
Mikić, Rozarija ; Pečarić, Josip ; Perić, Ivan

Izvornik
Journal of Mathematical Inequalities (1846-579X) 9 (2015), 2; 615-630

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Kubo-Ando means ; connections ; solidarities ; Lah-Ribaric inequality ; reverse ˇ inequalities.

Sažetak
Reverse Ando’s inequalities for positive linear maps are deduced. A difference reverse inequality is proven for solidarities one of which is of a special type that includes connections. A quotient reverse inequality (or an operator reverse H ¨older inequality) for connections and for the special type of solidarities that includes connections is given. As an application an operator reverse of H ¨older’s inequality for the general weighted power mean is given in a difference and a quotient form. An analogous inequality in a difference form for the relative operator entropy is directly proven. An another type of reverse inequalities is given for Ando’s and Davis- Choi’s inequality. The estimations in this case are expressed using a kind of variation of involved family of operators.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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