On functions whose mean value abscissas are Stolarsky means of endpoints
Zarif O. Ibragimov, Farrukh Mukhammadiev
TL;DR
This paper introduces a novel method to identify all differentiable functions whose mean value abscissas correspond to Stolarsky means of their endpoints, expanding understanding of mean value properties.
Contribution
It presents a new approach to characterize functions with mean value abscissas as Stolarsky means, a class of symmetric means, providing a comprehensive solution to this problem.
Findings
Characterization of differentiable functions with Stolarsky mean abscissas
New analytical approach for mean value problems
Extension of mean value theory to Stolarsky means
Abstract
We provide a new approach to determine all differentiable functions whose mean value abscissas are Stolarsky means of endpoints.
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
TopicsMeromorphic and Entire Functions · Functional Equations Stability Results · Nonlinear Differential Equations Analysis