TL;DR
This paper introduces a stability version of H"older's inequality that includes an additional term quantifying how far a given case is from equality, with practical applications demonstrated.
Contribution
It provides a novel stability formulation of H"older's inequality with an extra deviation term, expanding its theoretical understanding.
Findings
Derived a new stability inequality for H"older's inequality.
Showed applications of the stability version in various contexts.
Abstract
We present a stability version of H\"older's inequality, incorporating an extra term that measures the deviation from equality. Applications are given.
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