Naslov
Double precision of the Jensen-type operator inequalities for bounded and Lipschitzian functions

Autori
Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip

Izvornik
Aequationes mathematicae (0001-9054) 93 (2019), 4; 669-690

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

Ključne riječi
Jensen operator inequality, Lah-Ribari\v c operator inequality, convexity, operator convexity, bounded function, Lipschitzian function

Sažetak
The main objective of the present paper is a study of mutual bounds for the Jensen operator inequality and the Lah-Ribari\v c operator inequality for the classes of bounded real-valued functions and Lipschitzian functions. The connection with the classical convexity is also discussed. As an application, our main results are then applied to quasi-arithmetic operator means, with a particular emphasis to power operator means. In particular, we obtain some new reverse relations that correspond to quasi-arithmetic and power operator means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA