ON SEMI-EXHAUSTIVENESS, SEMI-UNIFORM CONVERGENCE AND KOROVKIN-TYPE THEOREMS
In this study, we scrutinize the Korovkin-type theorems based on various forms of convergence, such as almost uniform convergence, semi-uniform convergence, and the concept of semi-exhaustiveness. Since it is known that the convergence types mentioned above are between point-wise and uniform convergence, it will be noticed that the circumstances can be mitigated in the Korovkin theorem.
Authors
- Tuncay Tunç (ORCID: https://orcid.org/0000-0002-3061-7197)
- Alper Erdem (ORCID: https://orcid.org/0000-0001-8429-0612)
Institutions
- Mersin Üniversitesi (TR)
Publication Details
- Journal
- Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler
- Published
- 2024-08-29
- DOI
- https://doi.org/10.20290/estubtdb.1410365
- Citations
- 1
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.71