Simpson Type Inequalities for m-convex Functions
M. Emin \"Ozdemir, Merve Avci, Havva Kavurmaci
TL;DR
This paper derives new Simpson-type inequalities applicable to functions with third derivatives that are m-convex, expanding the mathematical tools available for analyzing such functions.
Contribution
The paper introduces novel inequalities for m-convex functions involving their third derivatives, extending existing Simpson inequalities.
Findings
New inequalities for m-convex functions established
Applicable to functions with third derivatives in absolute value
Enhances mathematical analysis of m-convex functions
Abstract
In this paper, we establish some new inequalities for functions whose third derivatives in the absolute value are m-convex.
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 · Optimization and Variational Analysis