Journal of Mathematical Inequalities Volume 8, Number 2 (2014), 321–330

SCHUR–HARMONIC CONVEXITY FOR DIFFERENCES OF SOME SPECIAL MEANS IN TWO VARIABLES

YING WU, FENG QI AND HUAN-NAN SHI

Abstract. In the paper, the authors find Schur-harmonic convexity of linear combinations of
differences between some means such as the arithmetic, geometric, harmonic, and root-square
means, and establish some inequalities related to these means and differences.

Mathematics subject classification (2010): Primary 26E60; Secondary 26B25, 26D20

Keywords and phrases: Schur-harmonic convexity, difference, mean

Schur-harmonic convexity for differences of some special means in two variables.pdf

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