Korovkin type Approximation of Abel Transforms of q-Meyer-König and Zeller Operators
Abstract
In this paper we investigate some Korovkin type approximation properties of the q-Meyer-König and Zeller operators and Durrmeyer variant of the q-Meyer-König and Zeller operators via Abel summability method which is a sequence-to-function transformation and which extends the ordinary convergence. We show that the approximation results obtained in this paper are more general than some previous results. Finally, we obtain the rate of Abel convergence for the corresponding operators.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2019
- DOI:
- 10.48550/arXiv.1904.11212
- arXiv:
- arXiv:1904.11212
- Bibcode:
- 2019arXiv190411212S
- Keywords:
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- Mathematics - Functional Analysis;
- 40A35;
- 40G10;
- 41A36
- E-Print:
- 11 pages