Journal of Mathematical Inequalities Volume 9, Number 1 (2015), 145–153

ON SCHUR m–POWER CONVEXITY FOR RATIOS OF SOME MEANS

HONG-PING YIN, HUAN-NAN SHI AND FENG QI

Abstract. In the paper, the authors discuss the Schur m-power convexity on (0,)×(0,) for
ratios of some famous means, such as the arithmetic, geometric, harmonic, root-square means,
and the like, and obtain some inequalities related to ratios of means.

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

Keywords and phrases: Schur m-power convexity, quotient, mean, arithmetic mean, geometric mean, harmonic mean.

On Schur m–power convexity for ratios of some means.pdf

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