On set-convergence statistically modulated

2023/07/05 by Maria del Pilar Romero de la Rosa, de la Rosa, Maria del Pilar Romero
Mathematics · #40H05 40A35 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2307.02221

openalex publication_date 2023/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore some convergence notions for set-convergence coming from modern summability methods. Specifically we will see the connections between Wijsman f-statistical convergence and Wijsman f-strong Cesàro convergence, when f is a modulus function that induces a density in ℕ.

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