# A New Improvement of H\"older inequality via Isotonic Linear Functionals

## TL;DR

This paper introduces a novel enhancement of the H"older inequality using isotonic linear functionals, which can improve many existing related inequalities and is demonstrated through an application.

## Contribution

It presents a new version of H"older inequality leveraging isotonic linear functionals, offering a broader and improved inequality framework.

## Key findings

- New inequality improves existing H"older-related inequalities
- Application demonstrates practical utility of the new inequality
- Enhances theoretical understanding of inequalities in analysis

## Abstract

In this paper, new improvement of celebrated H\"older inequality by means of isotonic linear functionals is established. An important feature of the new inequality obtained in here is that many existing inequalities related to the H\"older inequality can be improved via new improvement of H\"older inequality. We also show this in an application.