# q-Bernoulli Inequality

## TL;DR

This paper introduces and proves a q-analogue of the Bernoulli inequality, expanding the mathematical framework of inequalities with a new parameterized version.

## Contribution

The paper presents the first proof of the q-analogue of Bernoulli inequality and discusses related inequalities in the q-calculus setting.

## Key findings

- Established the q-Bernoulli inequality.
- Derived related inequalities in q-calculus.
- Extended classical inequalities to the q-analogue form.

## Abstract

In this work, the q-analogue of Bernoulli inequality is proved. Some other related results are presented.