Mathematical inequalities on some weighted means

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.

11 pages

References in corpus (2)

• A New Class of Operator Monotone Functions via Operator Means
• On weighted means and their inequalities