Pregled bibliografske jedinice broj: 1159474
Jensen-type operator inequalities for bounded, Lipschitzian and higher order convex functions
Jensen-type operator inequalities for bounded, Lipschitzian and higher order convex functions // The 2nd Mediterranean International Conference of Pure & Applied Mathematics and Related Areas 2019 (MICOPAM 2019)
Pariz, Francuska, 2019. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Jensen-type operator inequalities for bounded, Lipschitzian and higher order convex functions
Autori
Krnić, Mario ; Mikić, Rozarija ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
The 2nd Mediterranean International Conference of Pure & Applied Mathematics and Related Areas 2019 (MICOPAM 2019)
Mjesto i datum
Pariz, Francuska, 28.08.2019. - 31.08.2019
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Jensen operator inequality, Lah-Ribariˇc operator inequality, convexity, operator convexity, bounded function, Lipschitzian function
Sažetak
The main objective of this talk is a study of mutual bounds for the Jensen operator inequality and the Lah-Ribariˇc operator inequality for the classes of bounded, Lipschitzian and higher order convex 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
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
