Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 3 2015 09 28 Schur-geometric and Schur-harmonic Convexity of an Integral Mean for Convex Functions 87 89 EN Jian Sun Zhi-Ling Sun Bo-Yan Xi Feng Qi Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China TJANT2015334 10.12691/tjant-3-3-4 2015 09 22 2015 09 26 2015 09 28 In the paper, Schur-geometric and Schur-harmonic convexity of an integral mean for convex functions are established.