Comparison of Differences between Power Means 1

@article{Tian2013ComparisonOD,
  title={Comparison of Differences between Power Means 1},
  author={Chang-An Tian and Guanghua Shi and Fei Zuo},
  journal={International Journal of Mathematical Analysis},
  year={2013},
  volume={7},
  pages={511-515}
}
We show that the differences of power means associated to distinct sequences of weights are comparable, with constants that depend on the smallest and largest quotients of the weights. The obtained results are then utilized to generalize the operator arithmetic-geometric-harmonic mean inequalities. Mathematics Subject Classification: Primary 47B20; Secondary 47A10 
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