English

Mathematical inequalities on some weighted means

Classical Analysis and ODEs 2022-11-08 v2

Abstract

Some mathematical inequalities among various weighted means are studied. Inequalities on weighted logarithmic mean are given. Besides, the gap in Jensen's inequality is studied as a convex function approach. Consequently, some non-trivial inequalities on means are given. Some operator inequalities are also shown.

Keywords

Cite

@article{arxiv.2110.06493,
  title  = {Mathematical inequalities on some weighted means},
  author = {Shigeru Furuichi and Kenjiro Yanagi and Hamid Reza Moradi},
  journal= {arXiv preprint arXiv:2110.06493},
  year   = {2022}
}

Comments

11 pages

R2 v1 2026-06-24T06:50:57.855Z