On the Optimal Point of the Weighted Simpson Index

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Casquilho, JP (Author) Other; Mena Matos, H (Author) FCUP

Journal

Title: Mathematics

Vol. 12

Final page: 507

Publisher: MDPI

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00Z-WXM

DOI: 10.3390/math12040507

Abstract (EN): In this short communication, following a brief introduction, we undertake a comprehensive analytical study of the weighted Simpson index. Our primary emphasis concerns the precise determination of the optimal point (minimizer) coordinates and of the minimum value of the index, a differentiable convex function, which is related to the harmonic mean concept. Furthermore, we address and solve the inversion problem and show the tight connection between both approaches. Last, we give some insights and final remarks on this subject.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7