Abstract
In this paper, we study the Korovkin-type theorem for modified Meyer–König and Zeller operators via A-statistical convergence and power series summability method. The rate of convergence for this new summability methods is also obtained with the help of the modulus of continuity. Further, we establish Voronovskaya-type and Grüss–Voronovskaya-type theorems for A-statistical convergence.
| Original language | English |
|---|---|
| Pages (from-to) | 2005-2019 |
| Number of pages | 15 |
| Journal | Bulletin of the Malaysian Mathematical Sciences Society |
| Volume | 44 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2020, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.
Keywords
- A-statistical convergence
- Korovkin-type theorem
- Modified Meyer–König and Zeller operators
- Power series summability method
- Rate of convergence
- Voronovskaya-type theorem
ASJC Scopus subject areas
- General Mathematics