On refined operator version of Young inequality and its reverse
Alemeh Sheikhhosseini, Maryam Khosravi
TL;DR
This paper presents refined versions of Young's inequality and its reverse for positive numbers, extending these results to operator and matrix contexts, including Hilbert-Schmidt norm versions.
Contribution
It introduces new refinements of Young's inequality and extends these to operator and matrix forms, including Hilbert-Schmidt norm versions.
Findings
Refined Young inequality for positive numbers
Operator versions of the refined inequalities
Hilbert-Schmidt norm versions for matrices
Abstract
In this note, some refinements of Young inequality and its reverse for positive numbers are proved and using these inequalities some operator versions and Hilbert-Schmidt norm versions for matrices of these inequalities are obtained.
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Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · Holomorphic and Operator Theory