Korovkin Type Theorem for Modified Bernstein Operators via A-Statistical Convergence and Power Summability Method
In this study, we investigate the approximation properties of modified Bernstein operators through the lens of A-statistical convergence and power summability methods. Our main objective is to establish a Korovkin-type approximation theorem in this generalized setting. By incorporating statistical convergence, we aim to provide broader and more powerful approximation results that can be applied in various contexts where classical convergence criteria may fail or be insufficient.
Authors
- Merve İlkhan (ORCID: https://orcid.org/0000-0002-0831-1474)
- Tuğba Değirmenci (ORCID: https://orcid.org/0000-0003-2826-9741)
Institutions
- Düzce Üniversitesi (TR)
Publication Details
- Journal
- Mathematical Sciences and Applications E-Notes
- Published
- 2025-06-11
- DOI
- https://doi.org/10.36753/mathenot.1657527
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00