Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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MUIRHEAD'S AND HOLLAND'S INEQUALITIES OF MIXED POWER MEANS FOR POSITIVE REAL NUMBERS

  • LEE, HOSOO (Department of Mathematics, College of Natural Sciences, Sungkyunkwan University) ;
  • KIM, SEJONG (Department of Mathematics, College of Natural Sciences, Chungbuk National University)
  • Received : 2016.08.25
  • Accepted : 2016.11.03
  • Published : 2017.01.30
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Abstract

We review weighted power means of positive real numbers and see their properties including the convexity and concavity for weights. We study the mixed power means of positive real numbers related to majorization of weights, which gives us an extension of Muirhead's inequality. Furthermore, we generalize Holland's conjecture to the power means.

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Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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