English

Note On Certain Inequalities for Neuman Means

Classical Analysis and ODEs 2014-05-20 v1

Abstract

In this paper, we give the explicit formulas for the Neuman means NAHN_{AH}, NHAN_{HA}, NACN_{AC} and NCAN_{CA}, and present the best possible upper and lower bounds for theses means in terms of the combinations of harmonic mean HH, arithmetic mean AA and contraharmonic mean CC.

Keywords

Cite

@article{arxiv.1405.4387,
  title  = {Note On Certain Inequalities for Neuman Means},
  author = {Zai-Yin He and Yu-Ming Chu and Ying-Qing Song and Xiao-Jing Tao},
  journal= {arXiv preprint arXiv:1405.4387},
  year   = {2014}
}

Comments

9 pages

R2 v1 2026-06-22T04:16:48.041Z