Citation
Mursaleen, Mohammad Ayman and Kilicman, Adem and Md., Nasiruzzaman
(2022)
Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters.
Filomat (Zbornik radova Filozofskog fakulteta, serija Matematika), 36 (4).
1179 - 1194.
ISSN 0354-5180; ESSN: 2406-0933
Abstract
Our main purpose of this article is to study the convergence and other related properties of q-Bernstein-Kantorovich operators including the shifted knots of real positive numbers. We design the shifted knots of Bernstein-Kantorovich operators generated by the basic q-calculus. More precisely, we study the convergence properties of our new operators in the space of continuous functions and Lebesgue space. We obtain the degree of convergence with the help of modulus of continuity and integral modulus of continuity. Furthermore, we establish the quantitative estimates of Voronovskaja-type.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.2298/FIL2204179A |
| Publisher: | Faculty of Sciences and Mathematics, University of Nis, Serbia |
| Keywords: | Bernstein-Stancu type polynomials; q-calculus; Modulus of continuity; Peetre’s K functional; Korovkin’s theorem; Voronovskaja-type theorem. |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 29 Jan 2024 04:32 |
| Last Modified: | 29 Jan 2024 04:32 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.2298/FIL2204179A |
| URI: | http://psasir.upm.edu.my/id/eprint/100331 |
| Statistic Details: | View Download Statistic |
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