Work

On Cauchy alpha and uniform alpha convergence

Year: 2025

Type: article

Abstract: In this paper we introduced the notions of Cauchy alpha convergence and uniform alpha convergence for sequences of functions between metric spaces. Using these new concepts, we investigated properties between uniform convergence and alpha convergence and provided figures illustrating the relationships among these different types of convergence based on the structure of the functions and their domains. Finally, we established some Korovkin-type approximation theorems involving these new concepts.

Source: Filomat

DOI: 10.2298/fil2520033e

Authors: Alper Erdem, Tuncay Tunç

Institutions: University of Alberta, Mersin Üniversitesi

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

Award: G910680712