On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators
In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type. For the first operators, we state the Volkov-type theorem and we obtain a Voronov...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4589310 |
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| author | Edmond Aliaga Behar Baxhaku |
| author_facet | Edmond Aliaga Behar Baxhaku |
| author_sort | Edmond Aliaga |
| collection | DOAJ |
| description | In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type. For the first operators, we state the Volkov-type theorem and we obtain a Voronovskaja type and investigate the degree of approximation by means of the Lipschitz type space. For the GBS type operators, we establish their degree of approximation in terms of the mixed modulus of smoothness. The comparison of convergence of the bivariate q-Bernstein type operators based on parameters and its GBS type operators is shown by illustrative graphics using MATLAB software. |
| format | Article |
| id | doaj-art-713686c8cf10456a8653b60bcd85b3cb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-713686c8cf10456a8653b60bcd85b3cb2025-02-03T06:45:52ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/45893104589310On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type OperatorsEdmond Aliaga0Behar Baxhaku1Department of Mathematics, University of Prishtina, Prishtina, KosovoDepartment of Mathematics, University of Prishtina, Prishtina, KosovoIn this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type. For the first operators, we state the Volkov-type theorem and we obtain a Voronovskaja type and investigate the degree of approximation by means of the Lipschitz type space. For the GBS type operators, we establish their degree of approximation in terms of the mixed modulus of smoothness. The comparison of convergence of the bivariate q-Bernstein type operators based on parameters and its GBS type operators is shown by illustrative graphics using MATLAB software.http://dx.doi.org/10.1155/2020/4589310 |
| spellingShingle | Edmond Aliaga Behar Baxhaku On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators Journal of Function Spaces |
| title | On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators |
| title_full | On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators |
| title_fullStr | On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators |
| title_full_unstemmed | On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators |
| title_short | On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators |
| title_sort | on the approximation properties of q analogue bivariate λ bernstein type operators |
| url | http://dx.doi.org/10.1155/2020/4589310 |
| work_keys_str_mv | AT edmondaliaga ontheapproximationpropertiesofqanaloguebivariatelbernsteintypeoperators AT beharbaxhaku ontheapproximationpropertiesofqanaloguebivariatelbernsteintypeoperators |