A proof of Jensen’s inequality through a new Steffensen’s inequality

Mohammed M. Iddrisu, Christopher A. Okpoti, Kazeem A. Gbolagade
Published 2014-07-22

Abstract

In this paper, we present more proofs of the new Steffensen’s inequality for convex functions. First, we provide separate proofs for continuous functions followed by a general proof for all L1([0,1]) functions. The last part is dedicated to the proof of the well known Jensen’s inequality using the new inequality.
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How to Cite this Article

Mohammed M. Iddrisu, Christopher A. Okpoti, Kazeem A. Gbolagade, A proof of Jensen’s inequality through a new Steffensen’s inequality, Adv. Inequal. Appl., 2014 (2014), Article ID 29

Copyright © 2014 Mohammed M. Iddrisu, Christopher A. Okpoti, Kazeem A. Gbolagade. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.