On improvement of Young inequality using the Kontrovich constant
Maryam Khosravi, Alemeh Sheikhhosseini
TL;DR
This paper presents enhancements to Young's inequality and its reverse using the Kontrovich constant, extending these improvements to operator and matrix norm versions.
Contribution
It introduces new improved inequalities for positive numbers and extends these results to operator and matrix contexts using the Kontrovich constant.
Findings
Improved Young inequality with Kontrovich constant
Operator versions of the inequalities proved
Hilbert-Schmidt norm versions established
Abstract
Some improvements of Young inequality and its reverse for positive numbers with Kontrovich constant are given. Using these inequalities some operator versions and Hilbert-Schmidt norm versions for matrices are proved.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Matrix Theory and Algorithms · Approximation Theory and Sequence Spaces