On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality (CROSBI ID 147188)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Barić, Josipa ; Matić, Marko ; Pečarić, Josip
engleski
On the bounds for the normalized Jensen functional and Jensen-Steffensen inequality
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.
Jensen-Steffensen’ s inequality; convex functions; bounds
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano