Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators
We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we study the rates of statistical convergence of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/569450 |
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| _version_ | 1850174162057822208 |
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| author | Qiu Lin |
| author_facet | Qiu Lin |
| author_sort | Qiu Lin |
| collection | DOAJ |
| description | We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we study the rates of statistical convergence of these operators by means of modulus of continuity and the functions of Lipschitz class. |
| format | Article |
| id | doaj-art-c8456091247a4b21b7676ca809be409d |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c8456091247a4b21b7676ca809be409d2025-08-20T02:19:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/569450569450Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich OperatorsQiu Lin0School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaWe introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we study the rates of statistical convergence of these operators by means of modulus of continuity and the functions of Lipschitz class.http://dx.doi.org/10.1155/2014/569450 |
| spellingShingle | Qiu Lin Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators Journal of Applied Mathematics |
| title | Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators |
| title_full | Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators |
| title_fullStr | Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators |
| title_full_unstemmed | Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators |
| title_short | Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators |
| title_sort | statistical approximation of q bernstein schurer stancu kantorovich operators |
| url | http://dx.doi.org/10.1155/2014/569450 |
| work_keys_str_mv | AT qiulin statisticalapproximationofqbernsteinschurerstancukantorovichoperators |