Abstract
In this paper we present uniform convergence of a sequence of λ -Bernstein operators via A-statistical convergence and power summability method. A rate of convergence of the sequence of operators are also investigated by means of above mentioned summability methods. The last section is devoted to pointwise convergence (A-statistical convergence) of the sequence of operators in terms of Voronovskaya and Grü ss–Voronovskaya type theorems.
| Original language | English |
|---|---|
| Pages (from-to) | 125-146 |
| Number of pages | 22 |
| Journal | Journal of Applied Mathematics and Computing |
| Volume | 65 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Feb 2021 |
Bibliographical note
Publisher Copyright:© 2020, Korean Society for Informatics and Computational Applied Mathematics.
Keywords
- A-statistical convergence
- Grüss–Voronovskaya type theorem
- Korovkin type theorem
- Power summability method
- Rate of convergence
- Voronovskaya type theorem
- λ-Bernstein operators
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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