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.

Downloads

Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

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

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

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