On the Optimal Point of the Weighted Simpson Index

• Tipo: Artigo em Revista Científica Internacional
• Data: 2024

Autores

Casquilho, JP (Autor) Outra; Mena Matos, H (Autor) FCUP

Revista

Título: Mathematics

Vol. 12

Página Final: 507

Editora: MDPI

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 7