Concentration Inequalities in Riesz Spaces
Mohamed Amine Ben Amor, Amal Omrani
TL;DR
This paper extends the concept of moment generating functions to Riesz spaces and uses this to establish concentration inequalities within this mathematical framework.
Contribution
It introduces a generalization of moment generating functions to Riesz spaces and derives new concentration inequalities based on this extension.
Findings
Generalized moment generating functions to Riesz spaces
Derived new concentration inequalities in Riesz spaces
Established foundational properties of the generalized functions
Abstract
In this work, we will generalize the moment generating function to Riesz spaces. We will derive some of its properties and use it to prove concentration inequalities on Riesz spaces.
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Taxonomy
TopicsAdvanced Banach Space Theory · Functional Equations Stability Results · Holomorphic and Operator Theory