New Jensen-type inequalities
Constantin P. Niculescu, C\u{a}t\u{a}lin Irinel Spiridon
TL;DR
This paper introduces a novel framework for Jensen-type inequalities that extends their applicability to non-convex functions and measures that are not necessarily positive, broadening their theoretical scope.
Contribution
The paper presents a new framework for Jensen-type inequalities applicable to non-convex functions and general measures, expanding traditional bounds.
Findings
Extended Jensen inequalities for non-convex functions
Applicable to measures not necessarily positive
Broadened theoretical understanding of inequalities
Abstract
We develop a new framework for the Jensen-type inequalities that allows us to deal with functions not necessarily convex and Borel measures not necessarily positive.
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 · Functional Equations Stability Results · Advanced Banach Space Theory