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On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties


Md. Heshamuddin and Rao, Nadeem and Lamichhane, Bishnu P. and Kilicman, Adem and Mursaleen, Mohammad Ayman (2022) On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties. Mathematics, 10 (18). art. no. 3227. pp. 1-13. ISSN 2227-7390


The goal of this research article is to introduce a sequence of α –Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity. A Voronovskaja-type approximation result is also proven. Next, error analysis and convergence of the operators for certain functions are presented numerically and graphically. Furthermore, two-dimensional α –Stancu–Schurer–Kantorovich operators are constructed and their rate of convergence, graphical representation of approximation and numerical error estimates are presented.

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Official URL or Download Paper: https://www.mdpi.com/2227-7390/10/18/3227

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.3390/math10183227
Publisher: MDPI AG
Keywords: Rate of convergence; Order of approximation; Modulus of continuity; Weighted approximation; A-statistical approximation
Depositing User: Ms. Zaimah Saiful Yazan
Date Deposited: 08 Jun 2023 02:08
Last Modified: 08 Jun 2023 02:08
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math10183227
URI: http://psasir.upm.edu.my/id/eprint/102383
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