International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Bounding the Difference and Ratio Between the Weighted Arithmetic and Geometric Means

  • Feng Qi

    Abstract

    In the paper, making use of two integral representations for the difference and ratio of the weighted arithmetic and geometric means and employing the weighted arithmetic-geometric-harmonic mean inequality, the author bounds the difference and ratio between the weighted arithmetic and geometric means in the form of double inequalities.

    How to Cite

    F. Qi, Bounding the Difference and Ratio Between the Weighted Arithmetic and Geometric Means, Int. J. Anal. Appl. 13 (2017), 132–135.

    BibTeX
    @article{Qi2017,
      author  = {Qi, Feng},
      title   = {Bounding the Difference and Ratio Between the Weighted Arithmetic and Geometric Means},
      journal = {Int. J. Anal. Appl.},
      volume  = {13},
      year    = {2017},
      pages   = {132--135},
      doi     = {}
    }

    References

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    • [2] F. Qi and B.-N. Guo, The reciprocal of the geometric mean of many positive numbers is a Stieltjes transform, J. Comput. Appl. Math. 311 (2017), 165-170.
    • [3] F. Qi and B.-N. Guo, The reciprocal of the weighted geometric mean is a Stieltjes function, Bol. Soc. Mat. Mex. (2016). doi:10.1007/s40590-016-0151-5.
    • [4] F. Qi and B.-N. Guo, The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function, ResearchGate Working Paper (2016), doi:10.13140/RG.2.2.23822.36163.
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