Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters
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 st...
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Faculty of Sciences and Mathematics, University of Nis, Serbia
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100331/ https://doiserbia.nb.rs/Article.aspx?id=0354-51802204179A |
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| author | Mursaleen, Mohammad Ayman Kilicman, Adem Md., Nasiruzzaman |
| author_facet | Mursaleen, Mohammad Ayman Kilicman, Adem Md., Nasiruzzaman |
| author_sort | Mursaleen, Mohammad Ayman |
| building | UPM Library |
| collection | Institutional Repository |
| content_provider | Universiti Putra Malaysia |
| content_source | UPM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | 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. |
| format | Article |
| id | my.upm.eprints-100331 |
| institution | Universiti Putra Malaysia |
| publishDate | 2022 |
| publisher | Faculty of Sciences and Mathematics, University of Nis, Serbia |
| record_format | eprints |
| spelling | my.upm.eprints-1003312024-01-29T04:32:58Z http://psasir.upm.edu.my/id/eprint/100331/ Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters Mursaleen, Mohammad Ayman Kilicman, Adem Md., Nasiruzzaman 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. Faculty of Sciences and Mathematics, University of Nis, Serbia 2022 Article PeerReviewed 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 https://doiserbia.nb.rs/Article.aspx?id=0354-51802204179A 10.2298/FIL2204179A |
| spellingShingle | Mursaleen, Mohammad Ayman Kilicman, Adem Md., Nasiruzzaman Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters |
| title | Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters |
| title_full | Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters |
| title_fullStr | Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters |
| title_full_unstemmed | Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters |
| title_short | Approximation by q-Bernstein-Stancu-Kantorovich operators with shifted knots of real parameters |
| title_sort | approximation by q-bernstein-stancu-kantorovich operators with shifted knots of real parameters |
| url | http://psasir.upm.edu.my/id/eprint/100331/ https://doiserbia.nb.rs/Article.aspx?id=0354-51802204179A |
| url_provider | http://psasir.upm.edu.my/ |