A new improvement of Hölder inequality via isotonic linear functionals

Abstract

In this paper, a new improvement of celebrated Hölder inequality using isotonic linear functionals is established. An important feature of the new inequality obtained here is that many existing inequalities related to the Hölder inequality can be improved which we also illustrate with an application.

Keywords

• hölder inequality
• young inequality
• integral inequalities
• hermite-hadamard type inequality