On the inequalities of S\'andor mean

TL;DR

This paper investigates inequalities involving Sándor means, establishing two-sided bounds for these means and related functions, enhancing understanding of their relationships and properties.

Contribution

The paper introduces new two-sided inequalities for Sándor means and related means, expanding the theoretical framework of mean inequalities.

Findings

Established two-sided inequalities for Sándor means

Derived bounds for related means involving exponential functions

Enhanced understanding of mean relationships

Abstract

In this paper author establishes the two sided inequalities for the following S\'andor means $$X=X(a,b)=Ae^{G/P-1},\quad Y=(a,b)=Ge^{L/A-1},$$ and other related means.