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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How to Cite

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