Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean

Authors

  • Annop Sonubon Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
  • Somsak Orankitjaroen Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand
  • Kamsing Nonlaopon Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4444

Keywords:

inequality., arithmetic mean, contra-harmonic mean, harmonic mean, Generalized logarithmic mean

Abstract

We verify the optimal inequalities between generalized logarithmic mean and the weighted arithmetic mean of contra-harmonic and harmonic means.

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Bounds for the Convex Combination of Contra-harmonic and Harmonic Means by the Generalized Logarithmic Mean. (2022). European Journal of Pure and Applied Mathematics, 15(3), 1120-1143. https://doi.org/10.29020/nybg.ejpam.v15i3.4444