Refinement of Inequalities among Means
Inder Jeet Taneja
TL;DR
This paper explores various classical and newly introduced means, providing refined inequalities among them to deepen understanding of their relationships.
Contribution
It introduces new means and offers refined inequalities among classical and recent means, advancing the theoretical framework of mean inequalities.
Findings
New inequalities among classical means established
Refinements improve bounds between different means
Introduction of recently studied means enhances existing theory
Abstract
In this paper we shall consider some famous means such as arithmetic, harmonic, geometric, root-square means, etc. Some new means recently studied are also presented. Different kinds of refinement of inequalities among these means are given.
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Taxonomy
TopicsMathematical Inequalities and Applications · Statistical Mechanics and Entropy · Functional Equations Stability Results