Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators
In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz...
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| Format: | Article |
| Language: | English |
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Faculty of Sciences and Mathematics, University of Nis
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53887/ http://psasir.upm.edu.my/id/eprint/53887/1/Statistical%20approximation%20properties%20of%20Stancu%20type%20q-Baskakov-Kantorovich%20operators.pdf |
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| author | Kilicman, Adem Mishra, Vishnu Narayan Sharma, Preeti Jain, Dilip |
| author_facet | Kilicman, Adem Mishra, Vishnu Narayan Sharma, Preeti Jain, Dilip |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type function are also established for said operators. Finally, we construct a bivariate generalization of the operator and also obtain the statistical approximation properties. |
| first_indexed | 2025-11-15T10:37:30Z |
| format | Article |
| id | upm-53887 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:37:30Z |
| publishDate | 2016 |
| publisher | Faculty of Sciences and Mathematics, University of Nis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-538872018-02-20T01:55:57Z http://psasir.upm.edu.my/id/eprint/53887/ Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators Kilicman, Adem Mishra, Vishnu Narayan Sharma, Preeti Jain, Dilip In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type function are also established for said operators. Finally, we construct a bivariate generalization of the operator and also obtain the statistical approximation properties. Faculty of Sciences and Mathematics, University of Nis 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53887/1/Statistical%20approximation%20properties%20of%20Stancu%20type%20q-Baskakov-Kantorovich%20operators.pdf Kilicman, Adem and Mishra, Vishnu Narayan and Sharma, Preeti and Jain, Dilip (2016) Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators. Filomat, 30 (7). pp. 1853-1868. ISSN 0354-5180; ESSN: 2406-0933 http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/1931 Statistical approximation properties; Stancu type; q-Baskakov-Kantorovich operators 10.2298 / FIL1607853M |
| spellingShingle | Statistical approximation properties; Stancu type; q-Baskakov-Kantorovich operators Kilicman, Adem Mishra, Vishnu Narayan Sharma, Preeti Jain, Dilip Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators |
| title | Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators |
| title_full | Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators |
| title_fullStr | Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators |
| title_full_unstemmed | Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators |
| title_short | Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators |
| title_sort | statistical approximation properties of stancu type q-baskakov-kantorovich operators |
| topic | Statistical approximation properties; Stancu type; q-Baskakov-Kantorovich operators |
| url | http://psasir.upm.edu.my/id/eprint/53887/ http://psasir.upm.edu.my/id/eprint/53887/ http://psasir.upm.edu.my/id/eprint/53887/ http://psasir.upm.edu.my/id/eprint/53887/1/Statistical%20approximation%20properties%20of%20Stancu%20type%20q-Baskakov-Kantorovich%20operators.pdf |