On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties
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...
| Main Authors: | , , , , |
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| Format: | Article |
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MDPI AG
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/102383/ |
| _version_ | 1848863788656230400 |
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| author | Md. Heshamuddin Rao, Nadeem Lamichhane, Bishnu P. Kilicman, Adem Mursaleen, Mohammad Ayman |
| author_facet | Md. Heshamuddin Rao, Nadeem Lamichhane, Bishnu P. Kilicman, Adem Mursaleen, Mohammad Ayman |
| author_sort | Md. Heshamuddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T13:38:29Z |
| format | Article |
| id | upm-102383 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:38:29Z |
| publishDate | 2022 |
| publisher | MDPI AG |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1023832023-06-08T02:08:38Z http://psasir.upm.edu.my/id/eprint/102383/ On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties Md. Heshamuddin Rao, Nadeem Lamichhane, Bishnu P. Kilicman, Adem Mursaleen, Mohammad Ayman 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. MDPI AG 2022-09-06 Article PeerReviewed 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 https://www.mdpi.com/2227-7390/10/18/3227 10.3390/math10183227 |
| spellingShingle | Md. Heshamuddin Rao, Nadeem Lamichhane, Bishnu P. Kilicman, Adem Mursaleen, Mohammad Ayman On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| title | On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| title_full | On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| title_fullStr | On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| title_full_unstemmed | On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| title_short | On one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| title_sort | on one- and two-dimensional a–stancu–schurer–kantorovich operators and their approximation properties |
| url | http://psasir.upm.edu.my/id/eprint/102383/ http://psasir.upm.edu.my/id/eprint/102383/ http://psasir.upm.edu.my/id/eprint/102383/ |