TL;DR
This paper introduces new inequalities related to Riemann sums of convex functions, enhancing Alzer's inequality and providing a converse, thereby advancing the mathematical understanding of inequalities involving convex functions.
Contribution
The paper extends Alzer's inequality by deriving two new inequalities for Riemann sums of convex functions, including a converse, which improves upon previous results.
Findings
Sharpened version of Alzer's inequality
New inequalities for Riemann sums of convex functions
A suitable converse for Alzer's inequality
Abstract
In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.
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 · Mathematics and Applications · Point processes and geometric inequalities