2022/11/29 by Sibel Ersan, Ersan, Sibel
Mathematics · Medicine · #Apelin-related biomedical research #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.2211.16026
openalex publication_date 2022/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The s-th forward difference sequence that tends to zero, inspired by the consecutive terms of a sequence approaching zero, is examined in this study. Functions that take sequences satisfying this condition to sequences satisfying the same condition are called s-ward continuous. Inclusion theorems that are related to this kind of uniform continuity and continuity are also considered. Additionally, the concept of s-ward compactness of a subset of X via s-quasi-Cauchy sequences are investigated. One finds out that the uniform limit of any sequence of s-ward continuous function is s-ward continuous and the set of s-ward continuous functions is a closed subset of the set of continuous functions.