Naslov
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality

Autori
Barić, Josipa ; Matić, Marko ; Pečarić, Josip

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

Izvornik
World Academy of Science, Egineering and Technology, Conference Proceedings / - Rim : International scholarly and scientific research and innovation, waset.org, 2016, 194-194

Skup
18th International Conference on Mathematical Scineces, Engineering and Applications

Mjesto i datum
Rim, Italija, 02.05.2016. - 03.05.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Jensen-Steffensen's inequality; convex functions; bounds

Sažetak
We consider the inequalities for normalized Jensen functional, recently introduced by S.S. Dragomir. We give an alternative proof of such inequalities and prove another similar result for the case when f is a convex function on an interval in the real line, while p and q satisfy the conditions for Jensen-Steffensen inequality. We show that our result improves the result of Dragomir in this special case. We also prove the integral versions of all our results, including those related to Boas generalization of Jensen-Steffensen integral inequality.

Izvorni jezik
Engleski

POVEZANOST RADA