Pioneer Journal of Mathematics and Mathematical Sciences Volume 14, Number 1, 2015, Pages 63-71 This paper is available online at http://www.pspchv.com/content_PJMMS.html 2015 , 8 March Received 2010 Mathematics Subject Classification: 26D15, 26D07. Keywords and phrases: Steffensen’s inequality, Jensen’s inequality, variants, convex functions. * Corresponding author. © 2015 Pioneer Scientific Publisher A NOTE ON SOME VARIANTS OF JENSEN ’ S INEQUALITY MOHAMMED MUNIRU IDDRISU 1 , CHRISTOPHER ADJEI OKPOTI 2 and KAZEEM A. GBOLAGADE 3 1 Department of Mathematics University for Development Studies Navrongo Campus P. O. Box 24, Navrongo, UE/R, Ghana e-mail: immuniru@gmail.com 2 Department of Mathematics University of Education, Winneba, Ghana e-mail: caokpoti@yahoo.com 3 Department of Computer Library and Information Science College of Information and Communication Technology Kwara State University Malete, Ilorin, Kwara State, Nigeria e-mail: gkazy1@yahoo.com Abstract In this paper, we present a refined Steffensen’s inequality for convex functions and further prove some variants of Jensen’s inequality using the new Steffensen’s inequality.