About some exponential inequalities related to the sinc function

TL;DR

This paper investigates exponential inequalities involving the sinc function, establishing conditions and intervals where these inequalities are valid, with both constant and polynomial exponents.

Contribution

It introduces new exponential inequalities related to the sinc function and determines the specific intervals where these inequalities are valid.

Findings

Established inequalities with constant exponents

Derived inequalities with polynomial exponents

Identified intervals where inequalities hold

Abstract

In this paper we prove some exponential inequalities involving the sinc function. We analyze and prove inequalities with constant exponents as well as inequalities with certain polynomial exponents. Also, we establish intervals in which these inequalities hold.