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F. Qi and Q.-M. Luo, A simple proof of monotonicity for extended mean values, J. Math. Anal. Appl. 224 (1998), 356-359.

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Article

Schur-geometric and Schur-harmonic Convexity of an Integral Mean for Convex Functions

1College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China

2Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China

3Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 3, 87-89
DOI: 10.12691/tjant-3-3-4
Copyright © 2015 Science and Education Publishing

Cite this paper:
Jian Sun, Zhi-Ling Sun, Bo-Yan Xi, Feng Qi. Schur-geometric and Schur-harmonic Convexity of an Integral Mean for Convex Functions. Turkish Journal of Analysis and Number Theory. 2015; 3(3):87-89. doi: 10.12691/tjant-3-3-4.

Correspondence to: Feng  Qi, Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China. Email: qifeng618@gmail.com

Abstract

In the paper, Schur-geometric and Schur-harmonic convexity of an integral mean for convex functions are established.

Keywords