A new method for proving some inequalities related to several special functions

TL;DR

This paper introduces a novel approach using power series expansions to establish exponential inequalities involving the sinc function, providing a new tool for analyzing inequalities of special functions.

Contribution

The paper presents a new method employing polynomial inequalities derived from power series to prove exponential inequalities related to special functions.

Findings

Successfully proved several exponential inequalities involving the sinc function.

Developed a systematic approach using polynomial inequalities from power series expansions.

Enhanced understanding of inequalities related to special functions.

Abstract

In this paper we present a new approach to proving some exponential inequalities involving the sinc function. Power series expansions are used to generate new polynomial inequalities that are sufficient to prove the given exponential inequalities.