The generalization of some results for Schurer and Schurer-Stancu operators
In the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators. Secondly, using this relationship and some known results we prove in every case a Voronovskaja type theorem...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2011-02-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/951 |
| _version_ | 1818006621288136704 |
|---|---|
| author | Dan Miclăuş |
| author_facet | Dan Miclăuş |
| author_sort | Dan Miclăuş |
| collection | DOAJ |
| description | In the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators. Secondly, using this relationship and some known results we prove in every case a Voronovskaja type theorem, the uniform convergence and the order of approximation for Schurer and Schurer-Stancu operators. |
| first_indexed | 2024-04-14T05:04:36Z |
| format | Article |
| id | doaj.art-72307ace4b104bec997f93c70f16a52e |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T05:04:36Z |
| publishDate | 2011-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-72307ace4b104bec997f93c70f16a52e2022-12-22T02:10:48ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2011-02-01401The generalization of some results for Schurer and Schurer-Stancu operatorsDan Miclăuş0North University of Baia MareIn the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators. Secondly, using this relationship and some known results we prove in every case a Voronovskaja type theorem, the uniform convergence and the order of approximation for Schurer and Schurer-Stancu operators.https://ictp.acad.ro/jnaat/journal/article/view/951Bernstein operatorsSchurer operatorsSchurer-Stancu operatorsfalling factorialsPochhammer symbolStirling numbers of second kind |
| spellingShingle | Dan Miclăuş The generalization of some results for Schurer and Schurer-Stancu operators Journal of Numerical Analysis and Approximation Theory Bernstein operators Schurer operators Schurer-Stancu operators falling factorials Pochhammer symbol Stirling numbers of second kind |
| title | The generalization of some results for Schurer and Schurer-Stancu operators |
| title_full | The generalization of some results for Schurer and Schurer-Stancu operators |
| title_fullStr | The generalization of some results for Schurer and Schurer-Stancu operators |
| title_full_unstemmed | The generalization of some results for Schurer and Schurer-Stancu operators |
| title_short | The generalization of some results for Schurer and Schurer-Stancu operators |
| title_sort | generalization of some results for schurer and schurer stancu operators |
| topic | Bernstein operators Schurer operators Schurer-Stancu operators falling factorials Pochhammer symbol Stirling numbers of second kind |
| url | https://ictp.acad.ro/jnaat/journal/article/view/951 |
| work_keys_str_mv | AT danmiclaus thegeneralizationofsomeresultsforschurerandschurerstancuoperators AT danmiclaus generalizationofsomeresultsforschurerandschurerstancuoperators |