Abstract
In this paper, we propose to investigate a new weighted statistical convergence by applying the Nörlund–Cesáro summability method. Based upon this definition, we prove some properties of statistically convergent sequences and a kind of the Korovkin type theorems. We also study the rate of the convergence for this kind of weighted statistical convergence and a Voronovskaya type theorem.
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Braha, N.L., Srivastava, H.M. & Et, M. Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems. J. Appl. Math. Comput. 65, 429–450 (2021). https://doi.org/10.1007/s12190-020-01398-5
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DOI: https://doi.org/10.1007/s12190-020-01398-5
Keywords
- Weighted statistical convergence
- Sequence spaces
- Korovkin type theorem
- Rate of convergence
- Voronovskaya type theorem