What is it about?
In this work, an operator version of Popoviciu’s inequality for Hilbert space operators for superquadratic functions is proved.
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Why is it important?
This is the first time one obtained an operator version of Popoviciu’s inequality for positive operators on Hilbert spaces.
Perspectives
The classical operators Jensen's inequality is refined and improved.
Prof. Dr. Mohammad W. Alomari
Jadara University
Read the Original
This page is a summary of: Operator Popoviciu’s inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces, Advances in Pure and Applied Mathematics, October 2019, ISTE OpenScience,
DOI: 10.1515/apam-2018-0154.
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